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If one vector is a multiple of another vector - that is to say, the coefficients of its components are in the same ratio, then the two vectors are parallel. That is raher a mouthful so here is an example to help illustrate it:

Suppose a and b are vectors.

Then the veccors 3a + 5b and 6a + 10b are parallel since the second of these is simply two times the first: 6a is twice 3a and 10b is twice 5b.

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Q: How do you determine that two vectors are parallel?
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