Vectors A, B, C are shown in the figure. Find the angle between A and B; A and C; B and C.

Solution:

We have to find the angle between A and B; A and C and B and C.

1) from the figure,

Angle between A and B = (90° - 30°) + 45°

= 60° + 45°

= 105°

Therefore, the angle between A and B is 105°

2) from the figure,

Angle between A and C = 30° + 90° + (60° - 30°)

= 120° + 30°

= 150°

Therefore, the angle between A and C is 150°

3) from the figure,

Angle between B and C = (90° - 45°) + 60°

= 45° + 60°

= 105°

Therefore, the angle between B and C is 105°

Vectors A, B, C are shown in figure. Find angle between:A and B; A and C; B and C.

Summary:

Vectors A, B, C are shown in figure. The angle between:A and B is 105° ; A and C is 150°; B and C is 105°.