1.

if vector a and vector b are two vectors then the value of (a+b)*(a-b)

Answer»

Two vectors are a and b.

(a+b) × (a-b) = a×a+b×a-a×b-b×b. (Distributive Law)

(a+b) × (a-b) = 0+b×a + b×a-0.

(a×b) = -(b×a).

(a+b) x (a-b) = 2*b×a.

b×a = |b|*|a|*sin(∆).

Where, ∆ is angle between b and a.

Hence, (a+b) × (a-b) = 2*|b|*|a|*sin(∆).



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