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Two vectors a and b have equal magnitude...

Two vectors a and b have equal magnitudes of 12 units. These vectors are making angles `30^(@)` and `120^(@)` with x-axis respectively. Their sum is `vec(r)`. Find the x and y components of `vec(r)`.

A

`(6sqrt(3)-6), (6 + 6sqrt(3))`

B

`(6sqrt(3) + 6), (6+6sqrt(3))`

C

`(6sqrt(3)-6), (6-6sqrt(3))`

D

`(6sqrt(3) + 6), (6-6sqrt(3))`

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A
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