SOLUTION: Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is proj (Subscript v)u. u=<2,8>, v= <4, -5> proj (Subscript v

SOLUTION: Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is proj (Subscript v)u. u=<2,8>, v= <4, -5> proj (Subscript v

Algebra.Com

Question 1132778: Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is proj (Subscript v)u.
u=<2,8>, v= <4, -5>
proj (Subscript v)u= <-128/41, 160/41>

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
= < ,>, =< ,>
*< ,>

substitute in *< ,>

=*< ,>

=()*<,>

proj[v]u=(,)

=( ,)

RELATED QUESTIONS
Find the vector projection of u onto v. Then write u as the sum of two orthogonal... (answered by MathLover1)

How do you Find the projection of u onto v. u = −5, −4 v = −8, −1 And my... (answered by MathLover1)

Please find the projection of u = <6, 7> onto v = <-5, -1>. Put {{{ U }}} as the sum of... (answered by Fombitz)

Find the vector projection of u=(7,3) onto v=(3,-3) and graph... (answered by htmentor)

If I have the two vectors u = <0,5,3> and v = <0,-2,-5>, how can I find the projection of (answered by Edwin McCravy)

Ok i'm not so worried about the sketches I just want confirmation about mainly part c and (answered by venugopalramana)

Find the sum of the vectors. vector u is (4,7) and vector m (8,17). Please... (answered by 10021987)

Find a pair of vectors u, v ∈ R2 that are orthogonal with respect to the inner product, (answered by ikleyn)

Write u = (3, 2, −6) as a sum of two vectors, one parallel and one orthogonal to w =... (answered by ikleyn)