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What is the scalar multiples of a vector actually?

I was thinking L = c[2 1 2]

Then I looked for projection of v on L. But I got c in my answers which are not supposed to be...

What is the scalar multiples of a vector actually?

I was thinking L = c[2 1 2]

^{T}Then I looked for projection of v on L. But I got c in my answers which are not supposed to be...

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