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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., \(\vec A\)\(\vec B\)

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