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Select two axes in a 2-d plane along which you want the vector components (3 axes in 3-d and so on). The axes must meet at a point, but need not be perpendicular.

In 2-d, draw a parallelogram so that its diagonal is the given vector and the adjacent sides are parallel to the axes. These adjacent sides will represent the components of the vector.

If the axes are at right angles and the vector Vmakes an angle t with the positive horizontal axis, then

horizontal component = V*cost

and

vertical component = V*sint

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What is the difference between a resultant vector and a component vector?

Oh, dude, okay, so like, a resultant vector is the overall effect of two or more vectors combined, while a component vector is just one of the vectors that make up the resultant. It's like saying the whole pizza is the resultant, and the pepperoni and cheese slices are the component vectors. So, basically, the resultant is the big picture, and the components are just the pieces that make it up.


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