MHT CET202618 April 2026Morning ShiftPhysicsMathematics in PhysicsActual
The angle made by vector A = 2 i + 3 j with x-axis and that with y-axis are respectively.
Options
- A⁻¹ 2 13 , ⁻¹ 3 13
- B⁻¹ 2 13 , ⁻¹ 3 13
- C⁻¹ 1 2 , ⁻¹ 1 3
- D⁻¹ 1 6 , ⁻¹ 1 2 3
Correct answer
B. ⁻¹ 2 13 , ⁻¹ 3 13
Step-by-step solution
Given vector A = 2 i + 3 j The magnitude of the vector is | A | = 2^2 + 3^2 = 4 + 9 = 13 Let be the angle made by the vector with the x-axis. Then, = A_x | A | = 2 13 = ⁻¹ ( 2 13 ) Let be the angle made by the vector with the y-axis. Then, = A_y | A | = 3 13 = ⁻¹ ( 3 13 ) Answer: ⁻¹ 2 13 , ⁻¹ 3 13