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Introduction to Vectors: Students learn to distinguish between scalar and vector quantities and how to state the magnitude and direction of a vector. They also learn how to draw vectors, using ...
But what if the two vectors are not in the same direction and they are not perpendicular? Well, here is the key to vector addition: Every vector can be broken into two vectors.
However, vectors are so important in introductory physics that if you don't use them correctly, you are going to have a problem. If you want a quick review of vectors, here is a start.