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Let x= hat(i)+hat(j) and y=3 hat(i)-2 ha...

Let `x= hat(i)+hat(j)` and `y=3 hat(i)-2 hat(k)`. Then, the vector r of magnitude `sqrt(21)` satisfying `r xx x =y xx x` and `r xx y=x xx y`, is

A

`-hat(i)+4hat(j)-2 hat(k)`

B

`-hat(i)-4 hat(j)-2 hat(k)`

C

`4 hat(i)+hat(j)-2 hat(k)`

D

`4 hat(i)-hat(j)-2 hat(k)`

Text Solution

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The correct Answer is:
C
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