1 point) Suppose u(-5, 1,3) and v (0, -3-4. Then: 1. The projection of u along...
(1 pt) Suppose u= <1,-2,-3> and v = <-1,-1,0>. Then: 1. The projection of u along v is . 2. The projection of u orthogonal to v is
Find the orthogonal projection of v⃗ 26 11 8 4 0 (1 point) Find the orthogonal projection ofv- 0 onto the subspace V of R spanned by and 28 (Note that these three vectors form an orthogonal set.) projv (u)-
(1 point) Find the orthogonal projection of 0 0 -7 1 V = 4 onto the subspace V of R4 spanned by 1 -1 -1 -1 -1 -1 -1 1 , and 7 1 -1 1 proj,(v) =
Please write/type clearly. 0 3 (1 point) Find the orthogonal projection of v= -18 -14 | onto the subspace V of R³ spanned by -2.. 4 and 2. 1 projv(v) =
(1 point) Find the orthogonal projection of -1 -5 V = 9 -11 onto the subspace V of R4 spanned by -4 -2 -4. -5 X1 = and X2 1 -28 -4 0 projv(v)
5. (a) Let u 1,4,2), ,1,0). Find the orthogonal projection of u on v (b) Letu ,1,0), u(0,1,1), (10,1). Find scalars c,,s such that 6. (a) Find the area of the triangle with vertices , (2,0,1), (3, 1,2). Find a vector orthogonal to the plane of the triangle. (b)) Find the distance between the point (1,5) and the line 2r -5y1 (i) Find the equation of the plane containing the points (1,2, 1), (2,1, 1), (1, 1,2). 7. (a) Let...
(1 point) Find the orthogonal projection of -17 4 -10 V = -13 4 onto the subspace V of R4 spanned by -5 2 -2 -1 -18 Xi = and X2 = -4 projv(v) =
Find the orthogonal projection of v = |8,-5,-5| onto the subspace W of R^3 spanned by |7,-6,1| and |0,-5,-30|. (1 point) Find the orthogonal projection of -5 onto the subspace W of R3 spanned by 7 an 30 projw (V)
(1 point) Are the following statements true or false? ? 1. u? v – vſ u = 0. ? 2. If x is orthogonal to every vector in a subspace W , then x is in Wt. ? 3. For any scalar c, ||cv|| = c||v. ? 4. For an m x n matrix A, vectors in the null space of A are orthogonal to vectors in the row space of A. ? 5. If u and v are nonzero...
-7 (1 point) Compute the orthogonal projection of v = v-3 onto the line L through 4 and the origin. -4 proj( ) =