QUESTION 10 Find the triple scalar product (u x v). w of the vectors u = 2i - 4j, v= -4i - 6j + 4k, w=9i - 7j+3k ОА 74 OB 140 OC-140 OD 458 ОЕ 74
(1 point) Suppose u 2i +2j + 5k, v = -4i - k and w Compute the following values: -i-4j+ 2k. Jul v=| 4 1-7ul+8v 6v+w 2u W- w 1 w
[3] Given: u = -8i + 6 v = i- j w = 4i - 8j T = -10i Point Pat (-17, -v2), point at (-9, 11), and point Rat (8, -15) Five of the following six parts are each worth 3 points. Part b is worth 5 points. a) Find the position vector, in xi + yj form, for the vector whose initial point is R and whose terminal point is 9. b) Sketch the position vector determined by...
Problem l: Let u, v and w be three vectors in R3 (a) Prove that wlv +lvlw bisects the angle between v and w. (b) Consider the projection proj, w of w onto v, and then project this projection on u to get proju (proj, w). Is this necessarily equal to the projection proj, w of w on u? Prove or give a counterexample. (c) Find the volume of the parallelepiped with edges formed by u-(2,5,c), v (1,1,1) and w...
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
Directions: In 25-27, let u = 15-6i .V=-5+ 4i, and w=-2-i. [25] Simplify u + 3v: A) -6i B) 6i C) 30-6i D) 30+6i E) none of these [26] Find the sum of the conjugate of v and the conjugate of w. A)-7-31 B) -7 +31 C) 7-3i D) 7+3i E) none of these [27] Subtract w from u. A) -17-71 B) -17+5i c) 13-5i D) 13-71 E) none of these
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
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),...
Let u = 31 - ), v= 41+j, w = i +5j Find the specified scalar. (4u) .v (4u)•v=0 Enter your answer in the answer box
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...