# When the component of a vector A along the direction of vector B is zero, what can you conclude about the two vectors? Explain.

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When the component of a vector $\vec A$ along the direction of vector $\vec B$  is zero, what can you conclude about the two vectors? Explain.

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The two vectors A and B are perpendicular to each other.

Explanation – Let θ = angle between the two vectors A and B.

Therefore component of vector $\vec A$ along the direction of vector $\vec B$ is obtained resolving vector $\vec A$ i.e. A cos θ

Now according to statement

A cos θ = 0

cos θ = 0 = cos 90º

∴ θ = 90º

i.e., $\vec A$$\vec B$