`u = , v = ` Find the projection of u onto v.

The projection of vector u onto v can be evaluated using the following formula, such that:

`proj_v (u) = ((u*v)/|v|)*v`

First, evaluate the product of the vectors `u*v` , such that:

`u*v = 2*6 + 2*1`

`u*v = 12 + 2`

`u*v = 14`

You need to evaluate the magnitude of support vector v:

`|v| = sqrt(6^2+1^2)`

`|v| = sqrt 37`

`proj_v (u) = (14/(sqrt37))*<6,1> => proj_v (u) = <84/(sqrt37),14/(sqrt37)>`

Hence, evaluating the projection of...

The projection of vector u onto v can be evaluated using the following formula, such that:

`proj_v (u) = ((u*v)/|v|)*v`

First, evaluate the product of the vectors `u*v` , such that:

`u*v = 2*6 + 2*1`

`u*v = 12 + 2`

`u*v = 14`

You need to evaluate the magnitude of support vector v:

`|v| = sqrt(6^2+1^2)`

`|v| = sqrt 37`

`proj_v (u) = (14/(sqrt37))*<6,1> => proj_v (u) = <84/(sqrt37),14/(sqrt37)>`

Hence, evaluating the projection of vector u onto v yields `proj_v (u) = <84/(sqrt37),14/(sqrt37)>``.`