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For vectors vec(A) and vec(B) making an ...

For vectors `vec(A) and vec(B)` making an angle `theta` which one of the following relation is correct?

A

`vec(A) xx vec(B) = vec(B) xx vec(A)`

B

`vec(A) xx vec(B) = AB sin theta`

C

`vec(A) xx vec(B) = AB cos theta`

D

`vec(A) xx vec(B)= - vec(B) xx vec(A)`

Text Solution

Verified by Experts

The correct Answer is:
D
Since, `vec(A) xx vec(B)= AB sin theta( hat(n))`
`vec(B) xx vec(A)= AB sin theta (- hat(n))`
`therefore vec(A) xx vec(B)= - vec(B) xx vec(A)`
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