A unit vector coplanar with i+ j+2 k and i+2 j+ k, and perpendicular to i+ j+ k, is

JEE Advanced Mathematics question

A unit vector coplanar with and , and perpendicular to , is

Answer: (A),(D)

A vector coplanar with the two given vectors is . Perpendicular to :

(t+s)+(t+2s)+(2t+s)=4t+4s=0 ⇒ s=-t,

so . \vec$ v|=1⇒

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Question ID VK-109702