A rigid body is acted on by two forces, R =ai +bj - 3 at the point (1,2,-1) and F =i+aj+bkat the point (-1,0,1). If the force system is equipolilent to the force F and the couple G, which have no components along i then determine F.

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A: Scalar product of two vectors

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.