If a vector `vec(r)` satisfies the equation `vec(r) xx ( hat(i) +2 hat(j) +hat(k) ) = hat(i)- hat(k)`, then `vec(r)`

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Q 2281278127.     If a vector `vec(r)` satisfies the equation

`vec(r) xx ( hat(i) +2 hat(j) +hat(k) ) = hat(i)- hat(k)`, then `vec(r)` is equal to
A

`hat(i) + 3 hat(j) +hat(k)`

B

`3 hat(i) + 7hat(j) + 3 hat(k)`

C

`hat(j) +t ( hat(i) +2 hat(j) + hat(k) )` where `t` is any scalar

D

`hat(i) +(t +3) hat(j) + hat(k)` where `t` is any scalar

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Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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