Question

4 If sum of two cenit vedor is a
unit vector, then magnitude of
difference​

Answer 1

Answer:

Let the 2 unit vectors be a^ and b^

Given :- |a^ + b^| = 1

|a^ + b^| ^2 = 1

1 + 1 + 2cosx = 1

cosx = -1/2

Magnitude of their difference = y

y^2 = |a^ - b^|^2

y^2 = 1 + 1 -2cosx

= 2 -2 × -1/2

= 2 - 1

= 1

That is y = √1 = 1 (Ans)

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