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  4. A vector is represented by 3 hati+ hatj + 2 hatk. Projection of this vector in XY plane is

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Q. A vector is represented by $3\hat{i}+ \hat{j} + 2\hat{k}$. Projection of this vector in $XY$ plane is

Motion in a Plane

Solution:

$\vec{R} = 3\hat{i} + \hat{j} + 2\hat{k}$
$\therefore $ Length in $XY$ plane $= \sqrt{R^2_x + R^2_y }$
$ = \sqrt{3^2 +1^2} = \sqrt{10}$