2. If B is the midpoint of AC, which of the, following must be true? I. АВ + ВС 3D АС II. 2ВС - АС II. АВ - - АС

Q: two vectors u = [5,4, -3], v = [1, -2, -1] form an angle θ that can be less than 90 ° (acute),…

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Q: Let a and m be real numbers, u = (1, a, 2, m, -3), and w = (2, а, 2, т, 3). Then the distance…

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Q: 3. u=8, |v|=3 and the angle between them is 125°. Determine b) the angle that u-v makes with vector…

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Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

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Q: Consider the array of vectors in the figure below. +y G H. R K A L 1. A + B + C + D + Q + H + Í + J…

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

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Q: i) ii) Draw a vector diagram for the cyclist's trip. Find the distance covered by the cyclist. (Give…

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Q: Exercise If lul=2 , Iwl=3 and the angle of between vis Tys Find Iv-2 Find Iv-2w/ The length of the…

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Q: 1: Let u = (-3,2, 4) and v = (2, -4,6). a) Find u o (v), b) Find u x v. c) Find Proj,u.

A: Here given that                        u=(-3, 2, 4)                and  v=(2, -4, 6)

Q: Assume b = i +3+k What is the angle that vector 6 makes with z axis (with k unit vector)? Report the…

A: Given vector b→=i^+j^+k^ let a→=k^ We have to find the angle between b→=i^+j^+k^ and a→=k^

Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

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Q: i = [4,24, 46] = r·õ+B so that i = [-4, 1,7] and B is perpendicular to

A: Introduction: The dot product of two vectors lies in the same plane as the two vectors. if two…

Q: 28. Prove that if A and B are any nonzero vectors and C- BIA + JAB, then the angle between A and C…

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Q: Find the area of the kite. 3 cm 3 cm -3 cm 5 cm

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Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

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Q: Quolel X= -gi +sj -K, Y. i-2 k yo i-2 K Find X x Y

A: (1) Consider the given vectors x=-2i+3j-k and y=i-2k   We have to find x×y   Now, x×y=ijk-2   3-11 0…