Given that `vec(A)+vec(B)+vec(C )=vec(0)`. Out of three vectors, two are equal in magnitude and the magnitude of the third vectors is `sqrt(2)` times that of either of the two having equal magnitude. Find the angles between the vectors.

Explanation

Let ` A = B ` and ` C = sqrt 2 A`
Sinec ` A^2 + B^2 = C^2 `, therefore angle between ` vec A` and ` vec B` is ` 90^2`. Since ` A= B, so
` /_PQR =/_QRP = 45^@`.
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Therefore, angle between ` vec B` and ` vec C`
` = 180^@- 45^@ = 135^@` ltbRgt Angle between ` vec C` and vec A`
` = 180^@- 45^@ = 135^@` .