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Chapter 3: Q. 3 (page 77)

If C→=A→+B→,Can C=0?Can C<0?For each, show how or explain why not.

Short Answer

Expert verified

The magnitude of vectorCcan be 0but it magnitudeCcanot be less than 0.

Step by step solution

01

Step 1. Given information

It is given that C→=A→+B→.We need to write can C=0and can C<0.For each we need to showhow or explain why not.

02

Step 2. Explanation

Length of a vector,

A vector either has length, or it has not. Its magnitude cannot be negative.

Ccan be 0if A→=-B→,in which case the sumC→is a vector of length0.

03

Step 3. Explanation

The magnitude of a vector is always positive so the magnitude of vector C→can't be negative.

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