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What is the standard form for the resolution of a vector having magnitude ‘a’ and is inclined at an angle θ to the X axis?(a) a(cos θ î + sin θ ĵ)(b) a(sin θ î + cos θ ĵ)(c) a(sin θ î + sin θ ĵ)(d) a(cos θ î + cos θ ĵ)This question was addressed to me in an internship interview.This interesting question is from Motion in a Plane topic in portion Motion in a Plane of Physics – Class 11

Answer» CORRECT answer is (a) a(cos θ î + SIN θ ĵ)

For explanation: The correct answer is a(cos θ î + sin θ ĵ). This is obtained by CONSTRUCTING a right-angled triangle with the distance of the point from the origin with either of the axes and then finding out the CORRESPONDING VALUES for X and Y components.


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