First slide

Vectors

Question

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

Moderate

A

perpendicular unit vectors
B

Parallel unit vector
C

parallel
D

anti-parallel

Solution

Given, A· B = 0
$\Rightarrow$ $A ⊥ B \Rightarrow A \times B = 1$
$A B \sin θ = 1 \Rightarrow A B \sin 90 ° = 1$
or $A B = 1 \Rightarrow A = 1 and B = 1$
So, A and B are perpendicular unit vectors.

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