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Channel: How to scale an unit vector $u$ in such way that $a u\cdot u=1$ where $a$ is a scalar - Mathematics Stack Exchange
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Answer by MJD for How to scale an unit vector $u$ in such way that $a u\cdot...

I think you mean that $u$ is a unit vector. If so, $u\cdot u = 1$, and $au\cdot u = 1$ is not possible in general.But I think what what the question is asking is that you are given $u$ and you are...

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Answer by David Quinn for How to scale an unit vector $u$ in such way that $a...

You can divide vector $v$ by its own modulus and by $\sqrt a$ so that the dot product is 1

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How to scale an unit vector $u$ in such way that $a u\cdot u=1$ where $a$ is...

I have a problem of scaling a unit vector $u$ in such way that its scalar product (by itself) multiplied by a costant has to be equal to one. $$a u\cdot u=1$$How do I do it?Edit: the unit vector - it...

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