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Question: If \(| \mathbf { a } | = | \mathbf { b } |\) then <img src="https://cdn.pureessence.tech/canvas_15.p...

If ∣a∣=∣b∣| \mathbf { a } | = | \mathbf { b } | then is

A

Positive

B

Negative

C

Zero

D

None of these

Answer

Zero

Explanation

Solution

=a⋅a−b⋅b=∣a∣2−∣b∣2= \mathbf { a } \cdot \mathbf { a } - \mathbf { b } \cdot \mathbf { b } = | \mathbf { a } | ^ { 2 } - | \mathbf { b } | ^ { 2 }

=0= 0, (∵∣a∣=∣b∣)( \because | \mathbf { a } | = | \mathbf { b } | ).