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What is the x-axis component of the force vector Ai + Bj +Ck with magnitude equal to F?

(a) B

(b) C

(c) Fcosα

(d) Fcosβ

The question was posed to me by my school teacher while I was bunking the class.

This question is from Cartesian Vectors in section Force Vectors of Engineering Mechanics

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Correct choice is (c) Fcosα

The best I can explain: As we know that the cosα is the ratio of the x-axis component to the magnitude of the vector. Thus the x-axis components is Fcosα, F, the magnitude in the case. Likely if we want to take the y-axis component we would try to do the same with the sine component.

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