Homework Let us decompose vector, a, into a sum of twoorthogonal vectors, p and d, where p is the projectionof a onto and is the vector component of aorthogonalto 7.(7,-5, 6) and 5 = (9, 7, 1).Compute the following. Write all answers in exactform.Suppose ap = projz ā=à Orthogonal complement ==XVerify your answers.p.q=p+q=XX

Given: To Find:To find a vector projection and a orthogonal component of vector .To verify the…

Let us decompose vector, a, into a sum of two orthogonal vectors, p and a, where p is the projection of a onto and is the vector component of a orthogonal to 7. Suppose a = Compute the following. Write all answers in exact form. p = proj, a (7, −5, 6) and 5 = (9, 7, 1). q Orthogonal complement = - p.q= Verify your answers. p + q = X X X