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If the vectors vecc, \ veca=xhati+yhatj...

If the vectors `vecc, \ veca=xhati+yhatj+zhatk and vecb=hatj` are such that `veca,vecc and vecb` form a right handed system then `vecc` is

A

` xhati -xhatk`

B

`vec0`

C

`y hatj`

D

`-zhat + x hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
Since ` veca , vecb, vecb` form a right handed system
` veca xx vecc = vecb, vecc xx veca and vecb xx veca = vecc`
Now,
` vecc = vecb xx vecb xx veca Rightarrow vecc= |{:( hati,hatj,hatk),(0,1,0),(x,y,z):}| =zhati -xhatk`
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