Question

Dot product of two non-zero vectors is zero, when angle between them is zero: a) 0 b) 30 c) 45 d) 90

Answer 1

Explanation:

Dot product of two vectors a and b is a.b=abcosθ  where θ is the angle between them. 

abcosθ=0⇒cosθ=0⇒θ=90∘ 

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Answer 2

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Let the 2 non-zero vectors be A and B then ,

A · B = ABcosФ

0 = ABcosФ

cosФ = 0

Ф = cos⁻¹(0) = 90°

Hence the angle between the 2 non-zero vectors if their dot product is zero is 90°

∴, Option (D) 90° is the correct answer

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