   Chapter 11, Problem 33RE

Chapter
Section
Textbook Problem

# Finding Cross Products In Exercises 31 and 32, find (a) u × v , (b) v × u , and (c) v × v . u = 4 i + 3 j + 6 k v = 5 i + 2 j + k

(a)

To determine

To calculate: For given vectors:

u=4i+3j+6kv=5i+2j+k

Find cross product of u and v.

Explanation

Given:

The vectors are:

u=4i+3j+6kv=5i+2j+k

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:

Cross product of u and v is:

Given is

u=4i+3j+6kv=5

(b)

To determine

To calculate: For vectors:

u=4i+3j+6kv=5i+2j+k

Find the cross product of v and u.

(c)

To determine

To calculate: For vectors:

u=4i+3j+6kv=5i+2j+k

Find the cross product of v and v.

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