Q.

If A . B = 0 and A X B = 1, then A and B are

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a

perpendicular unit vectors

b

Parallel unit vector

c

parallel

d

anti-parallel

answer is A.

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Detailed Solution

Given, A· B = 0⇒   A⊥B⇒A×B=1       ABsinθ=1⇒ABsin90°=1or     AB=1⇒A=1 and B=1 So, A and B are perpendicular unit vectors.
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If A . B = 0 and A X B = 1, then A and B are