   Chapter 12, Problem 7RE

Chapter
Section
Textbook Problem

# Suppose that u · (v × w) = 2. Find(a) (u × v) · w(b) u · (w × v)(c) v · (u × w)(d) (u × v) · v

(a)

To determine

To find: The value of (u×v)w.

Explanation

Given:

u(v×w)=2.

Formula used:

From properties of cross product (a×b)c=a(b×c)

Calculation:

Consider the expression (u×v)w.

By the above mentioned formula, simplify the expression (u×v)w as follows

(b)

To determine

To find: The value of u(w×v).

(c)

To determine

To find: The value of v(u×w).

(d)

To determine

To find: The value of (u×v)v.

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