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Chapter 10: Q. 3 (page 823)

What is the definition of the cross product?

Short Answer

Expert verified

Cross product of two vectors isthe method of multiplication of two vectors.

Step by step solution

01

Step 1. Given Information

We have to define the definition of the cross product.

02

Step 2. The Definition of Cross Product

Cross product of two vectors is the method of multiplication of two vectors.

A cross product is denoted by the multiplication sign(×)between two vectors. It is a binary vector operation, defined in a three-dimensional system.

It is represented by:

A×B=|A||B|sinθ

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Most popular questions from this chapter

Find the norm of the vector.v=0,0,6

Find a unit vector in the direction opposite to3,4,5.

In Exercises 30–35 compute the indicated quantities when u=(−3,1,−4),v=(2,0,5),andw=(1,3,13)

role="math" localid="1649434688557" v×wandw×v

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3),v=(4,0,1),andw=(−2,6,5)

u×wandw×u

In Exercises 28-31, find projuvandprojvu.

u=1,4,v=2,-3
See all solutions

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