Chapter 12.3, Problem 1E

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8th Edition

James Stewart

ISBN: 9781305266643

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:**

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

(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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