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If ` vec a= hat i+ hat j+ hat k`and ` vec b= hat j- hat k ,`find a vector ` vec c` such that ` vec a\ "x"\ vec c= vec b` and ` vec (a)cdot vec (c)=3`

A

`5hat(i)+2hat(j)+2hat(k)`

B

`(1)/(3)(5hat(i)+2hat(j)+2hat(k))`

C

`(1)/(5)(5hat(i)+2hat(j)+2hat(k))`

D

`(1)/(3)(4hat(i)+2hat(j)+2hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
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