2.24 Given vectors A = 2a, + 4a, + 10a, and B =-5a, + аф-3a, find...
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute (a) the scalar product A.B (b) the angle between A and B (c) the scalar projection of A on B (d) the vector product AxB (e) the area of the parallelogram whose sides are specified by A andB () the volume of a parallelepiped defined by vectors A, B and C (g) the vector triple product A x (Bx C) Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute...
find A x X for the following vectors : electromagnetism discipline. За, + 4а, В (b) A a, + 2a, + 4a, B (c) A = 2a, +5a, + la, B 5a, 1a, (a) A = 2a, 2a,+6a, a, + 3a,
1.28 Let P 2a, 4a, + a, and Q a +2a, Find R which has magnitude 4 and is perpen- dicular to both P and Q. / 1.29 Let G-xa-ya, + 2za, and H :-уга, + 3a,-xza.. At point (1,-2, 3), (a) calculate the magnitude of G and H, (b) determine G.H, (c) find the angle between G and H. 1.30 A vector field is given by H 10уга,-8xyza, + 1raz
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
Please answer all 4, thanks. Given A --6a, 3a, +2a, the projection of A along a, is (a) -12 (b) -4 (c) 3 (d) 7 (e) 12 At Cartesian point (-3,4.-1), which of these is incorrect? 5 (c) 0 tan (d) φ-tan-1-4- (a) ρ=-5 (b) -V26 Which of these is not valid at point (0, 4,o) (a) a =-a, (b) ae=-a, (c) a, = 4a (d) ap -a Given G-20a, + 50ae + 40a. at ( 1, π /2, π...
1.8 only please 1.7 Given that the position vectors ofpoints T and Sare 4a, 6a, a, and 10a, + 12a, + 8a, respectively, find: (a) the coordinates of T and S, (b) the distance vector from T to S. (c) the distance between T and s (a) If A and B are parallel, find α and β (b) If A and B are perpendicular, find a and p
Problem 1 (8 Points) Find the acute angle between the two vectors A = 2a, + a, + 3a. and B = ar-3a, + 2a. by using the definition of (a) the dot product; (b) the cross product.
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Exercise 1.42 Part A: Given two vectors A = 4.60i + 7.20j and B = 5.10i + 2.40j, find the scalar product of the two vectors A and B. Part B: Find the angle between these two vectors Exercise 1.42 Given two vectors A 460 İ + 7 20 jand B-5 10 i 240 j find the scalar product of the two vectors A and B Submit Request Answer Part B Find the angle between these two vectors
y Given two vectors from the origin O to the points A (1, -2,-2) and B (6,3, -2) - find the angle between OA and OB. What is the significance of the scalar product between the unit vectors along OA and OB, UOA. vor?