Let Complete each vector sum. A+B+C= A-B-C=
(1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate the flux integral of the vector field F 2i + j + 3k across the surface S (with N being the unit upward vector normal to the plane). B.I 48 C. I 72 E. 1 24 (1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate...
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
a b с 3. If a = i-2j+3k and b 3i+j + 2k, find a unit vector along c which is a linear combination of a and b and also perpendicular to b.
2. Let A = (cos, sin and B = (cos, sin) be two vectors on the x-y plane. Let C = (cos, sin be another non-zero vector on the x-y plane not collinear with A or B. Show that Ax B = -Bx C. If we could cancel B, as we could if these were real numbers, is it true that A= -Č? 2. Let A = (cos, sin and B = (cos, sin) be two vectors on the x-y...
)-( 1 (c) Let C be a real 3 x 3 matrix and b be a real 3-vector. The general solution to the matrix equation Cx=b is given by 2 2 =X3 + -4 2 for all XER Let 10 y = -6 8 (i) Let z be a real 3-vector. Find the solution set to the matrix equation Cz=0 (ii) Calculate M1, M2 ER such that 2 y = M1 ( 3 + H2 ·()--() 1 (iii) Express Cy...
V76 3k and S be the rectangular region with the orientation shown below. Let +6 (0,0,4) (2,0,4) (0,2,0) (2, 2,0) Find a normal vector to the plane (in the upward direction). -8j 4k n V 80 Find the area vector. (0, — 8, — 4) | х A (2 5 -(2 5 2 2 Flux = 5 6j and S be a disk of radius 4 on the plane z = 10 - x - y oriented away from the...
This should be sufficient information to solve parts a and b. This is for a Linear Optimization class. 4.8 Consider the linear programming problem of minimizing e x sub- Exercise ect to Ax = p' be an optimal solution to the dual. a) Let x be an optimal solution to the primal, when c is replaced by some č. Show that (č- c)'(x-x*)0. (b) Let the cost vector be fixed at c, but suppose that we now change b to...
uestions < ⓘ Assignment Score: Resources Hint Question 7 of 17 Let ion Complete each vector sum. tion A+ B+ C A-B+C A-B-C= ion estion
(c) Let L be the line given by the parametric vector equation r=ro + tv, where ro = i +2j + 3k and v = -i+j - k, and let P be the plane given by the vector equation (r-ru).n=0, where rı = 3j + 3k and n=i+ 3j+k. Find the point where L and P intersect.