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Let vector a = <-2,2,4> and vector b = <5,2,4> Find a x b
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- Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .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°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 by
- Q1\A: Consider these two vectors A-2i+3j+5k and B-5i+3j+10k, find the following C-A.B6. Given A = (y - 1)ax + 2xay, find the vector at (2, 2, 1) and its projection on B where B = 5ax - ay + 2az. 1 C. ax + 4ay, - 1 ay 30 az 15 1 ax ay + 30 az A. ax + 4ay, 6 1 1 + az 1 + 4ay, 1 а, + 15 D. a + 4ay, ax ay В. ах az + 6 30 30Let's consider two vectors, A = (-7, 10), B = (-5, -8), and C = (-1, 6) as shown below. A C B What is the magnitude of A+ B+ C? Answer What is the direction (8) of A+B+C relative to +x-axis? a-839 b. 20 C-85 3 d. 148°
- find vector A and vector B , from given vectors A+B and A-BThe position of a particle, A, with respect to a particle, B, can be expressed as ra/B = rA- rB Where the subscript notation A/B means: O The vector from the origin to particle A. O Bwith respect to A. O The vector from the origin to particle B. O A with respect to B.Describe two vectors and such that Have you considered all possibilities? (a) a + b = and a + b = c; Hint and and 07=0. □ ā=0. are perpendicular. are in the same direction. Pretend these are not vectors and solve. (b) a + b = à-b; 07=0. a and and O = 0. are in the same direction. are perpendicular.
- If a is a constant vector, show that ax (Vx 7) à = a, î + a, î + a, k, 7=nî+rŷ+gk -> ах V(a.r)-(a.V) r. r = ; i +, j+r,kSolve the following given vectors A, B and C: A = 2î + 3j+ k B = -4î + 2j - k C = 2î – 3j+ 4k a) (AX B) · C b) (BX A) c) (AX B) · (C XB) d) Angle between vector B and C= 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:
