   Chapter 11.3, Problem 45E

Chapter
Section
Textbook Problem

# Explain why u + v.w is not defined, where u, v and w are non-zero vectors.Explain why u + v.w is not defined, where u, v and w are non-zero vectors.

(a)

To determine

Whether the expression u(v+w) is defined for non-zero vectors u, v and w.

Explanation

Given:

The expression u(v+w).

Let u=u1i+u2j+u3k,v=v1i+v2j+v3k and w=w1i+w2j+w3k.

Now, consider the provided expression u(v+w). Put the values in the expression

(b)

To determine

Whether the expression (uv)w is defined for non-zero vectors u, v and w.

(c)

To determine

Whether the expression (uv)+w is defined for non-zero vectors u, v and w.

(d)

To determine

Whether the expression u(v+w) is defined for non-zero vectors u, v and w.

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