Exercise 3. Consider R³ with its Euclidean inner product. Let U be the plane given by the equation 3r + 2y – z = 0 in R°. sis h h for U -- d) Find the orthogonal projection of v = | 1] into Ut. e)...

Extracted text: Exercise 3. Consider R³ with its Euclidean inner product. Let U be the plane given by the equation 3r + 2y – z = 0 in R°. sis h h for U -- d) Find the orthogonal projection of v = | 1] into Ut. e) Write the vector v = |1) as a linear combination of b, b2, bz of R³.