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Chapter 3: Q. 2 (page 77)

If C鈫�=A鈫�+B鈫�,Can C>A+B?For each, show how or explain why not

Short Answer

Expert verified

Ccan be equal to A+BBut C cannot be greater thanA+B.

Step by step solution

01

Step 1. Given information

It is given that C鈫�=A鈫�+B鈫�.We need to write can C=A+Band C>A+B.If yes we need to show how or if not then we need to explain why not.

02

Step 2. Explanation

In general, the three vectors A鈫�,B鈫�,and,A鈫�+B鈫�=C鈫�form. Since the basic triangle property states that the sum of any two sides is greater than the third.

But C=A+Bin case A鈫�,B鈫�are in the same position.

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

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