Question

Which statement is right for force acting by the small particles of the body having it’s vector form as = Ai + Bj + Ck?

(a) In rectangular components representation of any vector we have vector F = Ai + Bj + Ck

(b) In rectangular components representation of any vector we have vector F = Ax + By + Cz

(c) In rectangular components representation of any vector we have vector F = Fx + Fy + Fz

(d) In rectangular components representation of any vector we have vector F = Fi + Fj + Fk

This question was addressed to me in an internship interview.

The doubt is from Centre of Gravity in chapter Centre of Gravity and Centroid of Engineering Mechanics

Answer 1

Right choice is (c) In rectangular components representation of any vector we have vector F = Fx + Fy + Fz

Easy explanation: As given the vector is F = Ai + Bj + Ck, this implies that the x, y and z-axis components of this vector is A, B and C respectively. But, in rectangular components representation of any vector, the vector is written as F = Fx + Fy + Fz.