MHB 231.13.3.33 calculate the proj_u, and scal_u

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To calculate the vector projection (proj_u) and scalar projection (scal_u) of vector u onto vector v, the formulas used are proj_u = (u·v / ||v||^2) * v and scal_u = u·v / ||v||. The dot product u·v is computed as -3*1 + 0*2 + 1*(-2) = -5. The magnitude of vector v is ||v|| = √(1^2 + 2^2 + (-2)^2) = 3. The results yield proj_u and scal_u values based on these calculations, which can be further explored in textbooks or online resources for clarity.
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$\tiny{231.13.3.33}$
$\textsf{For the vectors
$u=\langle -3,0,1 \rangle$,
$v=\langle 1,2,-2 \rangle$,
calculate the $proj_u$, and $scal_u$} $

$\textit{being on my own can't find an example for this ?}$😰
 
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If you are talking about vector and scalar projections of a vector on another vector, then you may refer to Wikipedia.
 
I would prefer a textbook...
 
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