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overset(rarr)A and overset(rarr)B are ...

`overset(rarr)A` and `overset(rarr)B` are two vectors in a plane at an angle of `60^(@)` with each other.`overset(rarr)C` is another vector perpendicular to the plane containing vectors `overset(rarr)A overset(rarr)B` . Which of the following relations is possible ?

A

`overset(rarr)A+overset(rarr)B=overset(rarr)C`

B

`overset(rarr)A+overset(rarr)B=overset(rarr)B`

C

`overset(rarr)Axxoverset(rarr)B=overset(rarr)C`

D

`overset(rarr)Axxoverset(rarr)B=overset(rarr)B`

Text Solution

Verified by Experts

The correct Answer is:
C
If two vectors are added to get a third vector, then all three vectors will lie on the same plane. However, cross product of two vectors is perpendicular to the plane containing those two vectors.
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