231.13.3.33 calculate the proj_u, and scal_u

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SUMMARY

The discussion focuses on calculating the vector projection ($proj_u$) and scalar projection ($scal_u$) of vector $v=\langle 1,2,-2 \rangle$ onto vector $u=\langle -3,0,1 \rangle$. The formulas for these projections are defined as follows: the vector projection is given by $proj_u(v) = \frac{(u \cdot v)}{(u \cdot u)} u$, and the scalar projection is calculated as $scal_u(v) = \frac{(u \cdot v)}{|u|}$. Participants suggest consulting resources like Wikipedia or textbooks for further clarification and examples.

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karush
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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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