Question
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.
Answers
oobleck
well, the projection of u onto v is
(u.v)/|v|
Then recall that v = |u|cosθ v/|v|
and the orthogonal component of u is |u|sinθ w/|w|
where w is orthogonal to v
(u.v)/|v|
Then recall that v = |u|cosθ v/|v|
and the orthogonal component of u is |u|sinθ w/|w|
where w is orthogonal to v