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What is the angle between vec(A) and vec...

What is the angle between `vec(A)` and `vec(B)`, If `vec(A)` and `vec(B)` are the adjacent sides of a parallelogram drwan from a common point and the area of the parallelogram is `AB//2`?

A

`15^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Area of parallelogram: `|vec(A)xxvec(B)|`
`=AB//2` (given)
`rArrAB sin theta=AB//2`
`rArr sin theta=1//2rArr theta=30^(@)`
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