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Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.
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- What surface is represented by r a = const, that is described if a is a vector of constant magnitude and direction from the origin and r is the position vector to the point P(x1, x2, x3) on the surface?LL Axax = B x ax; (d) A C = BC and Ax C = B x C where C is any vector except C = 0. 29 ax Express the unit vector a, in spherical components at the point: (a) r = 2, 0 = 1 rad, p = 0.8 rad; (b) x = 3, y = 2, z = -1; (c) p = 2.5, p = 0.7 rad, z = 1.5. 1.30 Consider a problem analogous to the varying wind velocities encountered byFind a vector n that is orthogonal to each of the vectors v = (2,0, –1) and w = (1,2, 1). Select one: O a. None of these O b. n = (2,3, 4) O c.n = (2,3, –4) O d. n = (2, –3, 4) O e. n = (-2,3, 4)
- 1. The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (3, 1) (x, y) =3. Given the following vectors: A = 2î + 5}; B = 6î – 2;; and C = 10î + 3f. Find the resultant vector R. 4. Find the sum of these four vectors: A = 3j, B = –-5î, C = 2j, and D = -3î + 1f. 5. Given two vectors: A = 5î + 8ĵ and B = -9î + 2j. Find the resultant vector. %3DThe vectors ā, b and čare not planar. The a', & and d are the associated reciprocal vectors given by a - (5 x a) こxd %3D ā (5 x c) ā - (6 x c) Show that the reciprocal vectors satisfy the following proporties: (b) 6.a = 7-d = ...= 0,
- Two vectors A= 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and (2B)? O A. 60° О В. 30° ОС. 75° O D. None O E. 120°= 2.4. The components of two vectors are A = -2.0, Ay = -5.0, A₂ = -4.6, B₂ = 4.2, By = 3.2 and B₂ = Find the angle between them:Vector v = <7,-5,-7> and has an initial point of <-10,6,-12>. Find the terminal point.
- Given two vectors A = 2ax + 4ay + 10az , B = - 5 ap + ad - 3az, and point P(0,2, - 5 ) !! The angle between A and B at P = 150.9 o 123 9 70.9 50.9Two vectors a and 6 have magnitudes 4 and 2 respectively. Also the angle between a and bis Find a .. 130These are the component forms of vectors u and w: ū u = (1, 1) w = (2,4) Subtract the vectors. ū - w = ][
