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Question

Projection of a vector a  on another vector b is given by -
 


A
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B
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C
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D
None of these
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Solution

The correct option is C

We have seen that the projection of vector a on b will be a cosθ  Let’s check the options and see which gives us a cosθ
a.b=|a|b| cosθ
( We know that dot product of a & b is equal to a b cosθ )
So, it’s not correct.
Another option we have is -a.b|b|
We know that \(a.b=|a||b|cos\theta\) so we’ll substitute this to the above expression - |a||b|cosθ|b|=|a|cosθ
Which is what we wanted, so this option is correct.

 

Mathematics

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