1. Let u, v, w be the vectors in the following picture. Which of the following vector equations is true? (a) w = u- 3v (b) w = u+ 3v- (c) w = 3u-v (d) w = 2u - 3v (e) w = 3u + v O (a) is the correct answer O (b) is the correct answer O c) is the correct answer O (d) is the correct answer O (e) is the correct answwer

Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

Q: Given the vectors v=[-1. 2, 4] and w=[0. -3, 1], which vector is perpendicular to both v and w? A…

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Q: Find the vector z, given that u = (3, -2, 5), v = (0, 2, 1), and w = Z= z = −u + 4v + 1 _W 2 (-6,…

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Q: Let a = -2 and b = 3 (b) = the component of b in the direction of a . = (-5*14^0.5)/7 -2 be vectors.…

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Q: 3. Determine which of the pairs of vectors are orthogonal. (a) a = (b) u = (c) y = 8 12 -5 3,0 = -3…

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Q: Find the solution of sin² (x) – 4sin (x) – 1 = 0 for all angles between 0 and 2n.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: The initial and terminal points of a vector v are given. Terminal Initial Point Point (2/²) (14) (a)…

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Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

Q: If u and v are the vectors below, solve the following equation for the vector x. 4 3 u= 4 -1…

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Q: Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or…

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: For the following three vectors are given in Cartesian coordinates: A₁ = [-4,3], A₂= [13,5], and A3…

A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

Q: 4. If possible, express t as a linear combination of u, v, and w. t = (2, 13, 5), = (1,2, 1), v = (-…

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Q: Refer to the vectors u₁ to ug. -0-0-0-0-0-0-0-0 U4 = -5, 45 = 1 46 = 5, 47 = 3 (b) -5 (c) = 1 U2 = 1…

A: we have given vectors we need to find the distance between the mentioned vector.

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: 36. Given vectors A, B, C and D (Fig.(b) below). Construct (a) 3A-2B-(C-D) (b) C+(A-B+2D). 30° 100…

A: The vectors A→, B→, C→ and D→ are given.

Q: 7 = -E- 2 -6 If yes, give the coefficients below; if no, enter DNE into each blank. Is the vector C1…

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Q: Let u = PQ and v = PR. (a) Write u and v in component form. (4₁, 4₂) = u V P = (-2,-1), Q = (5, -1),…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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