Vector Projections

When finding the projection of vector u; u=〈3,2〉, onto vector v; v=〈5,-5〉 , which diagram illustrates this situation?

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When finding the projection of vector u; u=〈3,2〉, onto vector v; v=〈5,-5〉  $use\ w_1=\operatorname{proj}_vu=\frac{u\cdot v}{\parallel v\parallel^2}\cdot v$  

• 〈-½,½〉

• 〈½,½〉

• 〈½,-½〉

• 〈-½,-½〉

• none of these

After finding the projection of vector u; u=〈3,2〉, onto vector v; v=〈5,-5〉, find w₂.

• 〈5/2,5/2〉

• 〈-5/2,5/2〉

• 〈5/2,-5/2〉

• 〈-5/2,-5/2〉

In a vector projection, w₁ and w₂ are referred to as the

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• proponets

• exponents

• donuts

• components

• hypotenuse

If vector u is orthogonal to vector v, then the Proj_v u =

• 1

• undefined

• infinity

• -1

• 0

if vector u and vector v are parallel or the same line, then Proj_v u =

• 1

• -1

• u

• v

• 0