   Chapter 11.4, Problem 10E

Chapter
Section
Textbook Problem

# Finding Cross Products in Exercises 7-10, find (a) u × v v × u v × v u = 〈 2,1, − 9 〉 v = 〈 − 6, − 2, − 1 〉

(a)

To determine

To calculate: The cross product u×v for the vectors u=3,2,2 and v=1,5,1.

Explanation

Given:

The cross product to be evaluate is u×v and the vectors are u=3,2,2 and v=1,5,1.

Formula used:

The cross product of two vector a=a1i+a2j+a3j and b=b1i+b2j+b3k is:

a×b=|ijka1a2a3b1b2b3|

Calculation:

The provided vectors are,

u=3i2j2k, v=i+5j+k

The cross product a×b is given by,

a×b=<

(b)

To determine

To calculate: The cross product v×u for the vectors u=3,2,2 and v=1,5,1.

(c)

To determine

To calculate: The cross product v×v for the vector v=1,5,1.

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