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Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)
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- Find 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)Let /be the line through the point with coordinates (0,1,0) in the direction of the vector their coordinates) lie on ?? a. (2,3,0) O b. (0, -1,0) O c. (1, 1, -1) O d. (1, 2,-1) 1 1 -1 Which of the following points (given byCLO 2 Given A =(x y, -yz, yz). If point T is located at (2.5,8.6,4.5), find the distance vector from T to S if S is 6.8 units away from T and is in the same direction as A at T. O a. (1.96,-1.41,6.36) O b. None of the choices O c. (-13.34,9.60,-43.22) d. (-1.96,1.41,-6.36) O e. (13.34,-9.60,43.22) O f. (0.29,0.21,0.93) CLO 2 The position vector of P(8,-1,3) is
- These are the component forms of vectors u and w: ū u = (1, 1) w = (2,4) Subtract the vectors. ū - w = ][sketch the vectors A= -3i+j and B=i+3j [i.e (-3,1) and (1,3). what propety do they share ]The two dimensional traction vector on a plane defined by normal. = 7+ another plane defined by normal vector can be given by choose all that apply to get points) 3.56.7.25 D-1,2 4.244.24 3-3 None of the above is given by T = 51 +63. The components of the traction of magnitude 6 acting on
- (a) Find the curl of the following vector: A =r cos e f-( (sin & cos @ (spherical) (b) Find the divergence of the following vector A = f 2r sin o- @r cos o +2 4r (cylindrical) If u know both subparts then u try otherwise skip for other518۹ من ٥۱۹۰ Example 2; find O between A¯and B? A*=2î +3ƒ +k , B =3î -2j +k Example 3; if 0=30o between A¯and B'find q value? A¯=2î +2j +4k , B'=qî +j -2k Example 4; Find the angle between the vectors A¯=2î +3ƒ +1k , B` =-4î +2ƒ -1k منو يعرف يحل ذني الاسئله مالت الفيزياء de between4md 8 agnitude 2 and vect he angle a between 90, or 180. following situations must be. On each sit an one correct answ C , (c) A 8-6 B=30 betweenA"an d the angle between t N--4i +2 -1 دعاء صاحب حسین 4:19p äclul 21.02.04 IIThe 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°Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two vectors A) 146° B) 47.7° C) 70° D) 22.6° O 1. D O 2. B O 3. C O 4. ALL 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 by