![u = -21-3k V -2; +3k Area of paralleto gram = luxul K их у 20 k J -2 o - 3 -2 3 si (6] - j G-6] + k[u] -bit oj+ 4k 6 taxy ſis](http://img.homeworklib.com/questions/521bb020-12e0-11eb-b57b-f9ed0aa472ee.png?x-oss-process=image/resize,w_560)
The area of the parallelogram determined by u= –2i – 3k and v = -2; +...
Find the length and direction (when defined) of u x v and vxu. u = - 2i - 2j - 4k, v = 2i + 2j + 3k .. uxv = (Type an exact answer, using radicals as needed.)
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...
1. 2. Find u v and the angle between vector u and v for a) u = 2i – 2j + k, v = 3i + 4k b) u = v3i – 7j, v = v3i+j – 2k c) u = 2i +j, v= i + 2j – k
u=2i-j+k v = 37 - 4k w = -51 +7 QUESTION 1)Find the volume of the parallel face determined by the vectors QUESTION 2) f(x, y, z) = xy + y2 + zx a) Find the gradient vector of function f b) Calculate the gradient vector at point P (1, -1, 2) of function f. c) Direction in the direction of the vector v = 3i + 6j - 2k at point P (1,-1,2) of the function f find the...
1. a) Find the area of the region D which is the parallelogram with vertices 00), 0, 2.2) b) Transform D to a rectangle, T(D), in u and v. Find the area of T(D) and (Area of D (Area of T(D)). Also find the Jacobian of the transformation. e) Evaluate JI (4x -3y)sec (4x +3y)dA
1. a) Find the area of the region D which is the parallelogram with vertices 00), 0, 2.2) b) Transform D to a rectangle, T(D),...
Question 2 Find the area of the parallelogram formed by the vectors: U<-44-2> and v<6,7,-2> Round your answer to 2 decimal places and do not type the unit. Question 3 x = - +1 Find the intersection point of the line ( y = 4t - 3 and the plane 4x + y = Z + 2 = 0. z=t-1 The value of t that corresponds to the intersection point is: ti The intersection point is Al
Exercise Set Chapter 3 Q1) Let u = (2, -2, 3), v = (1, -3, 4), and w=(3,6,-4). a) Evaluate the given expression u + v V - 3u ||u – v| u. V lju – v|w V X W ux (v x W) b) Find the angle 8 between the vector u = (2,-2,3) and v = (1, -3,4). c) Calculate the area of the parallelogram determined by the vector u and v d) Calculate the scalar triple product...
2. Given the vectors u = 2i + 3j and v = -3i - 2j (a) (4 points) Plot and label each vector (b) (4 points) Find w = u + v (c) (4 points) Find the unit vector of w
Linear Algebra Question:
Forgot to include the vaules of u, v and w.
:]suchthata,b,c,dso 6. 18 Points] Show that V, the set of all 2x2 matrices of the form such that a, b, c, d s0, is not a subspace. s. I5 Points each] Let ü = (2,-6, 2), v = (0, 4,-2), and w-(2, 2,-4) a. Find a vector that is orthogonal to both v and w using the cross product. b. Find the area of the parallelogram in...
Find the area of the parallelogram with vertices A(-3, 3), B(-1, If a = (2, -1, 4) and b = (7, 2, 1), find the following. a xb = b x a = Find the cross product a x b. a = i+ 2j - 4k, b = -i + 5k