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I have a question in that if v is s any nonzero vector, and v...

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Basic Math

I have a question in that if v is s any nonzero vector, and v ispositioned with its initial point at the origin, then the terminalpoints of all scalar multiples of v will occur at all the points ona straight line through the origin. But if we want to findtwo vectors, let's say m and n, that are parallel to each other, weneed to determine whether they are multiples of eachother.

So my question here is: what's the difference betweenscalar multiples and multiples? In another word,vectors within the same line are parallel to each other becausethis would be a special form of parallel?

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4.2 Ratings (562 Votes)
If m and n are two vectors and if a is any scalar then m and nare scalar multiples of each other meansma n anHere an is a vector parellel to the vector m whose    See Answer
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