The Cross Product in Vector Calculus
A 9part course with Math Fortress
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 Total Time 1 hr, 33 min
 Lessons 9
 Exercises 18

51 CQ
9 Lessons in This Course

9 minCalculus lesson 15 CQ
Want to learn about a third way of multiplying vectors? In this multivariable calculus lesson, learn about the cross product aka the vector product.
with Math FortressWant to learn about a third way of multiplying vectors? In this multivariable calculus lesson, learn about the cross product aka the vector product.

12 minCalculus lesson 27 CQ
In this multivariable calculus lesson, learn another method to compute cross products between two vectors in space by using their components.
with Math FortressIn this multivariable calculus lesson, learn another method to compute cross products between two vectors in space by using their components.

10 minCalculus lesson 36 CQ
Now that you know how to calculate the cross product, run through five simple example problems for finding the cross product of two vectors in space.
with Math FortressNow that you know how to calculate the cross product, run through five simple example problems for finding the cross product of two vectors in space.

9 minCalculus lesson 45 CQ
Continue running through example problems for finding the cross product of two vectors in space by using both the geometric and component definition.
with Math FortressContinue running through example problems for finding the cross product of two vectors in space by using both the geometric and component definition.

12 minCalculus lesson 57 CQ
The cross product has many properties. In this advanced calculus lesson, learn various algebraic properties of the cross product by doing example problems.
with Math FortressThe cross product has many properties. In this advanced calculus lesson, learn various algebraic properties of the cross product by doing example problems.

11 minCalculus lesson 66 CQ
Now that you understand the cross product's algebraic properties, it's time to go over various geometric properties of the cross product with two examples.
with Math FortressNow that you understand the cross product's algebraic properties, it's time to go over various geometric properties of the cross product with two examples.

9 minCalculus lesson 75 CQ
In this calculus lesson, get introduced to the scalar triple product (aka the triple scalar product) and its use for finding the volume of a parallelepiped.
with Math FortressIn this calculus lesson, get introduced to the scalar triple product (aka the triple scalar product) and its use for finding the volume of a parallelepiped.

9 minCalculus lesson 85 CQ
Torque isn't just a physics concept—it shows up in advanced calculus, too! In this calculus lesson, get an introduction to how torque is calculated.
with Math FortressTorque isn't just a physics concept—it shows up in advanced calculus, too! In this calculus lesson, get an introduction to how torque is calculated.

9 minCalculus lesson 95 CQ
Now that you've had an introduction to measuring torque using the cross product, run through some example problems in this advanced calculus lesson!
with Math FortressNow that you've had an introduction to measuring torque using the cross product, run through some example problems in this advanced calculus lesson!

24167 min24part Geometry course96 CQ
Having trouble in geometry class? Reviewing for the SATs? This course from Math Fortress explains the principles of geometry, from segments, intersections, and degrees to angles and congruence.
with Math FortressHaving trouble in geometry class? Reviewing for the SATs? This course from Math Fortress explains the principles of geometry, from segments, intersections, and degrees to angles and congruence.

1293 min12part Algebra course54 CQ
New to algebra and confused by its concepts? In this Algebra I course for beginners, Math Fortress provides clear and concise explanations, starting with variables and ending with word problems.
with Math FortressNew to algebra and confused by its concepts? In this Algebra I course for beginners, Math Fortress provides clear and concise explanations, starting with variables and ending with word problems.

13119 min13part Algebra course66 CQ
Now that you have algebra basics down, it's time to delve into quadratic equations. In this math course, students learn how to solve binomial and trinomial quadratic equations through factoring.
with Math FortressNow that you have algebra basics down, it's time to delve into quadratic equations. In this math course, students learn how to solve binomial and trinomial quadratic equations through factoring.

981 min9part Calculus course45 CQ
Calculating derivatives can be tricky if you aren't comfortable with differential calculus. In this course, learn how to find the derivatives of polynomials, natural exponential functions, and more.
with Math FortressCalculating derivatives can be tricky if you aren't comfortable with differential calculus. In this course, learn how to find the derivatives of polynomials, natural exponential functions, and more.

13103 min13part Calculus course59 CQ
Know the basics of differentiation, and feel ready to learn more intermediatelevel calculus? In this course, Math Fortress presents integration techniques to find the integrals of functions.
with Math FortressKnow the basics of differentiation, and feel ready to learn more intermediatelevel calculus? In this course, Math Fortress presents integration techniques to find the integrals of functions.

1183 min11part Calculus course47 CQ
Need some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.
with integralCALCNeed some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.

10133 min10part Calculus course72 CQ
Worried about taking a collegelevel or AP Calculus class? Fret not! In this course, review simple examples and graphs to explore the main concepts of both differential and integral calculus.
with Math is a SportWorried about taking a collegelevel or AP Calculus class? Fret not! In this course, review simple examples and graphs to explore the main concepts of both differential and integral calculus.

10110 min10part Calculus course59 CQ
Do you need a little help preparing for the AP Calculus AB exam? Look no further. This course covers the basic ideas of calculus, including: functions, limits, derivatives, and integration.
with Mark HuberDo you need a little help preparing for the AP Calculus AB exam? Look no further. This course covers the basic ideas of calculus, including: functions, limits, derivatives, and integration.

993 min9part Calculus course51 CQ
Calculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.
with Math FortressCalculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.

12109 min12part Calculus course62 CQ
In this calculus course discover the geometric interpretation of the dot product (also known as the scalar product), the component definition of the dot product, and properties of the dot product.
with Math FortressIn this calculus course discover the geometric interpretation of the dot product (also known as the scalar product), the component definition of the dot product, and properties of the dot product.

1183 min11part Calculus course47 CQ
Need some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.
with integralCALCNeed some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.

10129 min10part Math course70 CQ
Statistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!
with Zachary RappellStatistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!

31113 min31part Algebra course73 CQ
Studying for the Regents Exam and need help with the algebra one section? In this course, run through thirtyseven example problems that cover basic algebra concepts you'll need to know to pass.
with Math FortressStudying for the Regents Exam and need help with the algebra one section? In this course, run through thirtyseven example problems that cover basic algebra concepts you'll need to know to pass.

993 min9part Calculus course51 CQ
Calculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.
with Math FortressCalculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.

934 min9part Math course22 CQ
In elementary math education in second, third, and fourth grade, place value is fundamental, but some kids just don't seem to get it. In this course, get great tips on teaching place value to kids.
with Tom ScherstenIn elementary math education in second, third, and fourth grade, place value is fundamental, but some kids just don't seem to get it. In this course, get great tips on teaching place value to kids.