   Chapter 11, Problem 36RE

Chapter
Section
Textbook Problem

# Finding Cross ProductsIn Exercises 31 and 32, find (a) u × v , (b) v × u , and (c) v × v . u = 〈 0 , 2 , 1 〉 v = 〈 1 , − 3 , 4 〉

(a)

To determine

To calculate: For given vectors:

u=0,2,1v=1,3,4

Find the cross product of u and v.

Explanation

Given:

The vectors are:

u=0,2,1v=1,3,4

Formula used:

If u=u1i+u2j+u3k and v=v1i+v2j+v3k are vectors in space, then the cross product of u and v is:

u×v=(u2v3u3v2)i(u1v3u3v1)j+(u1v2u2v1)k

Calculation:

Then, the cross product of u and v is:

Given is

u=0,2,1v=1,3,4&#

(b)

To determine

To calculate: For given vectors:

u=0,2,1v=1,3,4

Find the cross product of v and u.

(c)

To determine

To calculate: For given vectors:

u=0,2,1v=1,3,4

The cross product of v and v.

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