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Question

If a=<3,2,1>b=<1,1,1> then the unit vector parallel to the vector a+b is

A
<23,13,23>
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B
<25,15,25>
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C
<23,13,23>
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D
<23,13,23>
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Solution

The correct option is A <23,13,23>
a+b=<3,2,1>+<1,1,1>=<2,1,2>|a+b|=4+1+4=9=3
Unit vector parallel to a+b is ±a+b|a+b|=±<2,1,2>3

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