Q 1251656524.     If, `a⃗ =hat i+2hat j+hat k, b⃗ = hat i−hat j+hat k, c⃗ =hat i+hat j−hat k`. A vector coplanar to `vec a⃗` and `vec b⃗` has a projection along `vec c⃗` of magnitude `1/sqrt 3`, then the vector is

JEE-MIS
A

`2hat i+hat j+hat k`

B

`4hat i+hat j−4k`

C

`4hat i−hat j+4hat k`

D

`2hat i+hat j−4hat k`

HINT

The projection of `vec r⃗` on `vec c⃗` ` = (vec r⃗ ⋅ vec c⃗)/ (vec c⃗) `
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