Question

If a and b be non-zero, non collinear vectors of mod a+b mod = mod a+b mod, then find angle between a and b​

Answer 1

Answer:

∣

a

+

b

∣

∣

∣

=

∣

∣

∣

a

−

b

∣

∣

∣

∣

∣

∣

a

+

b

∣

∣

∣

2

=

∣

∣

∣

a

−

b

∣

∣

∣

2

∣

a

∣

2

+

∣

∣

∣

b

∣

∣

∣

2

+2

a

b

=∣

a

∣

2

+

∣

∣

∣

b

∣

∣

∣

2

−2

a

b

a

.

b

=0

a

⊥

b

⇒θ=90

0

Then,

We get θ=90

0

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