Question

For the vectors Bold uequalsleft angle negative 8 comma 0 comma 1 right angleand Bold vequalsleft angle 1 comma 3 comma negative 3 right angle​,calculate proj Subscript Bold v Baseline Bold uand sca l Subscript Bold v Baseline Bold u.

Answer 1

A. The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Explanation:

Answer 2

Explanation:

Given that there are two vectors U = (-8,0,1)

V = (1,3,-3)

To find projection of u on V and also projection of V on U

First let us find the dot product U and V

U.V =
`-8(1)+0(3)+1(-3)\\= -11`

Projection of U on V =
`(U.V)/(|V|) \\=(-11)/(√(1+9+9) ) \\=(-11)/(√(19) )`

Similarly projection of V on U

=
`(U.V)/(|U|) \\=(-11)/(√(64+0+1) ) \\=(-11)/(√(65) )`