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Direction Cosines

If →A×→B=→0...

Question

If $\to A \times \to B = \to 0$ and $\to B \times \to C = \to 0$ , then the angle between $\to A$ and $\to C$ may be :

A

0

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B

\frac{π}{4}

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C

\frac{π}{2}

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D

none of these

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Solution

The correct option is A $0$
$\to A \times \to B = 0$ (Given)

$A B s i n θ = 0$

$θ = 0$ , . . . . .(1)

The angle between $\to A$ and $\to B$ is zero.

$\to B \times \to C = 0$ (Given)

$B C s i n ϕ = 0$

$ϕ = 0$ . . . . .(2)

The angle between $\to B$ and $\to C$ is zero

From the above discussion,

The angle between $\to A$ and $\to C$ is zero.

The correct option is A.

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