Question

Find the angle α, for the vector making an angle by y and z axis as 60˚ and 45˚ respectively. It makes an angle of α with x-axis. The magnitude of the force is 200N.

(a) 60˚

(b) 120˚

(c) 45˚

(d) 90˚

The question was posed to me in an online quiz.

I'm obligated to ask this question of Cartesian Vectors topic in section Force Vectors of Engineering Mechanics

Answer 1

The correct option is (a) 60˚

The explanation: When you will resolve the vector in its x, y and z-axis components, you will get an equation containing cosα. After getting the α correctly, you need to directly put that value in the previous equation of components. α = 60˚. As 120˚ will give a negative component. Just try to resolve the vector in its components.