Question

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

(0) A and B. (ii) Ä and C. (iii) B and C.​

Answer 1

Explanation:

Please see the next step of the given figure in the attachment

Here now in the given figure

(i)A and B

Angle between A and B will be

(90-30)°+45°=60°+45°=105°

(ii)A and C

Angle between A and C will be

60°+90°+30°=180°

(iii)B and C

Angle between B and C will be

(90-45)°+(90-60)°=45°+30°=75°

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Answer 2

Answer:

The correct answer is 105°, 180° and 75°.

Explanation:

Given:

The three vectors A, B and C are shown in figure below.

To find the values of the following angles:

1) A and B

Solution: A = 30°

               B= 45°

Hence, let the angle between A and B is,

(90°-30°)+ 45°

60°+ 45° = 105°

Therefore, the angle between A and B is 105°.

2) A and C

Solution:

Let the angle between A and B is,

90°+60°+45° = 180°

Therefore, the angle between A and B is 180°.

3) B and C

Solution:

Let the angle between B and C is,

(90°- 45°) + (90° -60°)

40°+30°= 75°

Therefore, the angle between B and C is 75°.

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