VectorHard

Question

If are unit vectors such that and are perpendicular, then-

Options

A.
B.
C. can be equal to √5
D. can be equal to √7

Solution






⇒ (A) is correct.
Now, = 1 + 1 + 2 = 2 ⇒ (B) is correct.
∵ = 1 + 1 + 2 = 5 ⇒ which is not possible.
⇒ (C) is incorrect. again
= 1 + 1 + 1 + 2 + 2 + 0 ≡ 7
= 3 + 2 + 2 = 7
= = 2
which is possible when and but and are perpendicular
⇒ and is not possible simultaneously
⇒ (D) is incorrect

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