Find u xv, vxu, and vxv. u = i- j, v=j+k (a) U XV -i-j+k x (b) V XU (c) V XV Need Help? Read It Watch It Talk to a Tutor OS Zato nitansver th Cam Scanner
Let u = 4i-6 j and v=−8i+4j. Find u−v.
25 and 27 please 24. u i, v i+j, w i+j+k 36. L 25-26 Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as adjacent edges. 37. W u = (2,-6, 2), v 〈0, 4,-2), w = (2, 2,-4) to 38. S the vectors lie in the same plane. u=51-2j + k, v=4i-j + k, w=i-j ide 28. Suppose that u (v X w)3. Find (a) u" (w × v) (c)...
1. Let u - (1,1,2), v = (1,2,1), and w (2,1,1) in R. and consider • the parallelogram B = {s(3v) + t-w) 0 <s,t<1, s,te R} spanned/formed by the vectors (3v) and (-w), and • the parallelepiped P = {ru + s(3v) + (-w) 0 <T,,t<1, r, s, t€ R} [10] spanned formed by vectors u. (3v). and (-w) We take the parallelogram B as a base of P. (a) Does the ordered vector triple (v xw, 3v, -w),...
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the streamline through (2,1,1). Ans:x,5-2-(5-z)/x A three-dimensional velocity distribution is given by u=-x, v=2y, w= 6-2. Find the equation of the streamline through (1,2,3). Ans : xv) 1414 and (6-2)/x = 3 fundb L
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u, v) k where (u, v) varies over a region R. Express the surface integral 116.3.2) as as a double integral with variables of integration u and v. a (x, y) a(u, v) du dy ru Хry dy du l|ru Xr, || f (x (u, v),y(u, v),z (u, v)) 1(xu, Wsx,y,z) Mos u.v.gou,» @ +()*+1 li ser(u, v),y(u, v),z (u, v) Date f (u, v,...
Let u = 5i - j, v = 41+ j, and w=i+6j. Find the specified scalar. u.V+U.W u•v+u•w= (Simplify your answer.) Enter your answer in the answer box. Save for Later < Previous
(Section 11.3) Find the projection of u onto v and find the vector component of u orthogonal to v for: u=8 i+2j v = (2, 1, -2)
1. Find the component form of v if ∥ v ∥= 6 and the angle it makes with the x-axis is 120 degrees. 2. Find the magnitude and directional angle of v = 6 i − 4 j and round the directional angle to the nearest degree. 3. Given that u = 8 i + 4 j and v = − 3 i − 8 j, find w = − u − 4 v.
Solve the following relations for x and y, and compute the Jacobian J(u,v). u=x+3y, v = 5x + 4y x=y=0 (Type expressions using u and v as the variables.) Choose the correct Jacobian determinant of T below. a A. J(u, v) = du - 4u + 3v a 11 - 4u+ 3v 11 a O B. J(u,v) = -4u + 3v 11 a (5u-v dy du Mal . (517") i (517) (507°) (-44*34) dic (547) OC. Jusv) = m (...