Question

If the sum of two unit vectorsis also a unit vector then magnitude of their difference and angle between the two given unit vectors is

Answer 1

Explanation:

1 = 1 + 1 + 2×1×1 cos (@)

=> 2 cos(@) = -1

=> cos(@) = -1/2

=> @ = 120° .......... ans...

so, angle b/w, let say, a and b = 120°

so, angle b/w a and -b = 180° - 120° = 60° = ¢

|a-b| = 2 cos(¢/2) = 2 cos(30°) = √3