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In a two dimensional motion of a particl...

In a two dimensional motion of a particle, the particle moves from point A, with position vector `vec(r )_(1)` to point B, with position vector `vec(r )_(2)`. If the magnitudes of these vectors are, respectively, `r_(1 )=3` and `r_(2)=4` and the angles they make with the x-axis are `theta_(1)=75^(@)` and `theta_(2)=15^(@)`, respectively, then find the magnitude of the displacement vector.

A

`sqrt(3)`

B

`sqrt(13)`

C

`sqrt(5)`

D

`sqrt(1)`

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The correct Answer is:
B
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