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Question

Given A=2ˆi+3ˆj and B=ˆi+ˆj. The component of vector A along vector B is

A
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B
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C
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D
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Solution

The correct option is C
Component of ¯A along ¯B = ¯A.¯B|B|=(2^i+3^j).(^i+^j)12+12
=2ˆi . ^i+2ˆi . ˆj+3ˆj . ^i+3^j.^j12+12
=2+0+0+32=52.

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