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Chapter 3: Q. 1 (page 77)

Trace the vectors in FIGURE EX3.1 onto your paper. Then find.

(a)A鈫�+B鈫�and (b)A鈫�-B鈫�.

Short Answer

Expert verified

(a) A鈫�+B鈫�=A1+B1,A2+B2.

(b)A鈫�-B鈫�=A1-B1,A2-B2.

Step by step solution

01

Part (a) Step 1. Given information

The given figure is, dds

We need to trace the figure and determineA鈫�+B鈫�.

02

Step 2. Calculationk

By vector addition,

A鈫�+B鈫�=A1+B1,A2+B2.

03

Part (b) Step 1. Given information

The given figure is,

We need to trace the figure and determineA鈫�-B鈫�.

04

Step 2. Calculation

By vector subtraction,

A鈫�-B鈫�=A鈫�+-B鈫�.

=A1-B1,A2-B2.

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Most popular questions from this chapter

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

Let, A鈫�=4i^-2j^,B鈫�=-3i^+5j^andC鈫�=A鈫�+B鈫�.

a. Write vector C鈫�in component form.

b. Draw a coordinate system and on it show vectors A鈫�,B鈫�andC鈫�.

c. What are the magnitude and direction of the vectorC鈫�?

Let B鈫�=5.0m,30鈭�counterclockwisefromvertical.Find the xandy-components of localid="1651138630094" B鈫�in each of the two coordinate systems shown in FIGURE EX3.18.

Can a vector have a component equal to zero and still have nonzero magnitude? Explain.

1. I Trace the vectors in FIGURE EX3.1 onto your paper. Then find

(a) A鈫�+B鈫�and (b) A鈫�鈭�B鈫�
See all solutions

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