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  4. The vector projection of a vector 3 hati+4 hatk on y-axis is:

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Q. The vector projection of a vector $ 3\hat{i}+4\hat{k} $ on y-axis is:

Rajasthan PMTRajasthan PMT 2004Motion in a Plane

Solution:

The vector projection of vector $\vec{ A }$ on $y$-axis is
$=\vec{ A } \cdot \hat{ j }$
$\therefore $ Vector projection $=(3 \hat{ i }+4 \hat{ k }) \cdot \hat{ j } $
$=0$