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

Options

A. `30^(@),60^(@),90^(@)`
B. `45^(@),45^(@),90^(@)`
C. `45^(2),650^(@),90^(2)`
D. `90^(@),135^(@),135^(2)`

Answer

d

Explanation

`barA,barB,barC` must lie along the sides of a triangle

`rarr` triangle is isoceles right angles as
`rarr` angle between `barA` and `barB=90^(@)`
angle between `barc` and `barA =135^(@)` angle between `barc` and `barB =135^(@)`