   Chapter 12.3, Problem 1E

Chapter
Section
Textbook Problem

# Which of the following expressions are meaningful? Which are meaningless? Explain.(a) (a · b) · c(b) (a • b) · c(c) | a | (b · c)(d) a · (b + c)(e) a · b + c(f) | a | · (b + c)

(a)

To determine

Whether the given expression is meaningful or meaningless.

Explanation

Given: (ab)c

A minimum of two vectors are required to perform a dot product. The resultant dot product of two vectors is a scalar. So, the dot product is also known as a scalar product.

The resultant dot product of (ab) is a scalar value

(b)

To determine

Whether the given expression is meaningful or meaningless.

(c)

To determine

Whether the given expression is meaningful or meaningless.

(d)

To determine

Whether the given expression is meaningful or meaningless.

(e)

To determine

Whether the given expression is meaningful or meaningless.

(f)

To determine

Whether the given expression is meaningful or meaningless.

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