Question

Define dot product of two vectors write its properties give two examples of it?
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Answer 1

Answer:

Property 1: Dot product of two vectors is commutative i.e. a.b = b.a = ab cos θ. Property 2: If a.b = 0 then it can be clearly seen that either b or a is zero or cos θ = 0 \Rightarrow \theta = \frac{\pi}{2}. ... Property 5: The dot product follows the distributive law also i.e. a. (b + c) = a.b + a.c.