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Scalar Multiplication and Division

Just like matrices, you can multiply and divide vectors by scalar values. This is useful when you want to scale the speed of a vehicle up or down, or enlarge a picture. For instance, if you had an object moving at a certain speed in a certain direction and you wanted to make it go twice as fast in the same direction, you would multiply its movement vector by a scalar. The principle you use is much the same as the one you used for matrices. All you need to do is multiply each component of the vector by the scalar. Check out Figure 1.19 for a visual representation.

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