A unit vector which is equally inclined to the vectors i, -2 i+ j+2 k 3 and -4 j-3 k 5 is

JEE Advanced Mathematics question

A unit vector which is equally inclined to the vectors , and is

Answer: (A),(D)

The three given vectors are all unit vectors, so "equally inclined" means equal dot products. Let with

x· i= x·= x·=λ .

Then ; ;

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Question ID VK-109703