Just add each of the corresponding components - the first component with the first component, the second component with the second component, etc. Here is an example. A = (5, 7), B = (-3, 2). Adding each component, you get: A + B = (5 + (-3), 7 + 2) = (2, 9).
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If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
Graphically: By laying them head-to-tail (move one of the vectors without rotatint it, so that its tail coincides with the head of the other vector). Algebraically: Separate each vector into components, e.g. in 2 dimensions, separate it into components along the x-axis and along the y-axis. Add those components. To subtract, just add the opposite vector.
Spliting up of vector into its rectangular components is called resolution of vector
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
Velocity is a vector, you can sum velocity in terms of direction components such as x and y.