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What is the sum of squares of the cosine angles made by the force vector with the coordinate axis?

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in Engineering Mechanics by (701k points)
What is the sum of squares of the cosine angles made by the force vector with the coordinate axis?

(a) 1

(b) ½

(c) 2

(d) 3

This question was posed to me during an interview.

Question is taken from Cartesian Vectors topic in division Force Vectors of Engineering Mechanics

1 Answer

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Best answer
Correct option is (a) 1

Explanation: The sum of the squares of the cosines of the vector will give you the squares of the components in the numerator, and the vector’s magnitude’s square in the denominator. But the numerator sum is equal to the vector’s magnitude’s square. Thus, the answer = 1.

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