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Question

Projection of a vector onto itself is

A
equal to 0.
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B
equal to 1.
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C
equal to 1.
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D
equal to its magnitude.
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Solution

The correct option is D equal to its magnitude.
Let a vector be A
We know that the projection of Aalong A is given as
AA|A|=|A||A|cosθ|A|=|A|cosθ
Since, the projection is on itself,
cosθ=cos0=1
|A|cosθ=|A|
Hence, projection of a vector onto itself is its magnitude.

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