Question

22.
Given that A+B+C =0. Out of these three vectors
two are equal in magnitude and the magnitude of
the third vector is 2 times as that of either of the
two having equal magnitude. Then the angles
between vectors are given by :
(A) 30°, 60°, 90°
(B) 45°, 45°, 90°
(C) 45°, 60°, 90°
(D) 90°, 135°, 135°
7​

Answer 1

Answer:

Correct option is

D

90

o

,135

o

,135

o

From polygon law, three vectors having summation zero should form, a closed polygon(triangle). Since, the two vectors are having same magnitude and the third vector is

2

times that of either of two having equal magnitude, i.e., the triangle should be right angled triangle.

Angle between A and B, α=90

o

Angle between B and C, β=135

o

Angle between A and C, γ=135

o

.

solution