Let u = (a, b, c) and v = (4, 5, 6). If u is parallel to (1,0, –1) and the projetuutuTu aiuny v is 8 (4, 5, 6) 77 then find c + 4.

Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−7, −2⟩

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Q: Find a vector a with representation given by the directed line segment AB, where A(-2, -2) and B(4,…

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Q: Let u = (2, 1, -1) v = (-4, a+ B,2) w = (a, 0, B) Find the values of a and B such that u is parallel…

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Q: Let u = (2, 1, –1), v = (-4, 4a + B, 2), =(a,0, 3,8). %3| Find the values of a and 8 such that: u is…

A: Given: u=2,1,-1, v=-4,4α+β,2, w=α,0,3β; u∥v and v⊥w

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Q: Let A = (0,0,0), B= (1,0,2), C = (2,1,1). Which of the following lines is perpendicular to the plane…

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Q: Let w, x, y, z be vectors and suppose z = 4x + y and w = 16x + 5y – 4z. Mark the statements below…

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Q: A. Let u = (1, 2, 3, 4), v = (0,2, t, 3), and w = (1,1,1.1). „Find t so that the angle between u –…

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Q: Write v as a linear combination of u and w, if possible, where u = (1, 2) and w = (1, −1). v = (−1,…

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Q: Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5. Given: FGII EH, FG=…

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = {8, 1) a = b =

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Q: Prove that (i) the three points A(1, 4, 2), B(3, 2, 4) and C(5, 0, 6) are collinear, (ii) the four…

A: (1) Given points are A(1, 4, 2), B(3, 2, 4) and C(5, 0, 6)

Q: Let P and Q be the points P (7, 7) and Q (12, 7). Find the vector PQ in componert form:

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Q: Given points A(0, 0) and 5(8, 4), show that P(2, 6) is on the perpendicularbisector of AB by using…

A: We have the vertices of the points A and B as Ax1,y1=0,0Bx2,y2=8,4 As we know that mid points of the…

Q: Write a proof using indirect proof in paragraph form. Given: Transversal t cuts lines a and b.…

A: Write a proof using indirect proof in paragraph form. Given: Transversal t cuts lines a and b. We…

Q: Determine m so that u and v are a) u (3, 5, 0); v = (m2, m+ 3,0) = perpendicular.

A: The given vectors,u=3,5,0 and v=m-2, m+3, 0

Q: Let v (k,2k,1) and w (k,-1,-8). For which values of k are v andw orthogonal?

A: Calculation:Since it is given that v and w are orthogonal, v ∙ w = 0.

Q: Let a, y, z be (non-zero) vectors and suppose w = 4y – 16x + 3z. If z = 4x – y, then w x+ y. Using…

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Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨1, −3⟩

A: Given: v=au+bw; u=1,2,v=1,-3,w=1,-1 for finding value of a and b, we put value of u,v,w in given…

Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−1, 8⟩

A: Given that v = au + bw. Substitute u =<1, 2> and w= <1, -1> in v.…

Q: (b) Let A(4,4, 7) and B(11,8, 11) be two points in 3D. Determine the coordinates of the point Q…

A: Introduction: When a vector is a non-zero scalar multiple of another vector, the two vectors are…

Q: (CILO 1, 2, 3, 4) Given that u(x, y) = xy, determine the following: %3D (a) ux and uy (b) S uxdy…

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Q: Let u (a, b, c) and v = (9, 10, 11). If u is parallel to (1, 0, –1) and the projection of u along v…

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Q: Let u = (1,2,3) and v = (2a,2a,a2) Which of the following values of a ensures that u and v are…

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Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨4, 5⟩

A: we have to find a and b such that v=au+bw where u=1,2 and w=1,-1 and v=4,5. the given vectors are:…

Q: M is the midpoint of AB. If A (4, 0) and M(2, 1), then find the coordinates of O (6, 1) O (3, 0.5) O…

A: Given that M is the midpoint of AB¯.Also, A(4,0) and M(2,1)Our Aim is to find the coordinates of B=?

Q: Prove That AxB=A xB w hen rotaing The axles (x, Y, Z) bY an Angle a bou The a xis Z

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Q: OABD is a square and the line segment OA, OB, OC a re represented by the vectors a, b, c…

A: In this question we will use laws of vector addition

Q: Let u = (a, b, c) and v = (10,11, 12). If u is parallel to (1,0, –1) and the projection of u along v…

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Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = (1, 2,…

A: Using the graphing utility, w = u × v = (1, 2, −1) x (2, 1, 2) = (5, -4, -3)

Q: Find the norm of U = V + 3W V(9 , 10 , 1) and W(8, -4,-9)

A: The given two vectors are V=(9, 10, 1) and W=(8, -4, -9). Evaluate U as follows. U=V+3W=9, 10, 1+38,…

Q: Let u = (2, 1, – 1) - (-4, α + β 2) w- (α, 0, β ) Find the values of a and ß such that u is parallel…

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Q: Let ữ, v, w e R* be three nonzero vectors and { u', V} be a linearly independent set. Then which of…

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Q: Lines and m are intersected by transversal t. || m. 13 2/4 5/7 6/8 Which of the following angles are…

A: the solution is given below

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Find the angle between u and v in the below. u= [4,3, -l],v= [1,-1,1]

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Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−6, 0⟩

A: It is given that,  v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−6, 0⟩

Q: Let u = (-3, 2) and v = (6, –2). a) Find u – 3v. b) Find Ju + v|. c) Find u· v. d) Are u and v…

A: NOTE: Refresh your page if you can't see any equations. . .

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v= (0, 24) a = %3D

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Q: е. ZBCA and ZACD are a linear pair. f. AF and BD are perpendicular.

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Q: Find the cross product a x b. a - (t, t?, ), b- (1, 30, 722) b = (1, 3t, 72)

A: Given that the vectors are  a = t, t2, t3   and    b = 1, 3t, 7t2 We need to find cross product a x…

Q: Given the vectors vi = (x,1, 1), v2 = (1,x,1) and v3 = (1,1,x). S = { v1, V2, V3} Find the solution…

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Q: Let u = (1,0, –1) and the projection of u along v is (a, b, c) and v = (2, 3, 4). If u is parallel…

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Q: Let u, V, w e R' be three nonzero vectors and { u, v} be a linearly independent set. Then which of…

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Q: B) Find the root and the height of (T, vo) where A = {1,2, 3, 4, 5, 6} and T = {(1,4), (3, 2), (2,…

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

Q: Let u (1,2.3.4) Vo ) (0.2.6,3 W: (1,1,1, Find t so that the angle between u-1lulliw and 2. v iv. 60

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Q: Given u = (7,5) and v = (8, –8), find the dot product u · v.

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). = (5, 4) a =

A: It is vector problem.

Q: Let u= (2, 1, –1) v- -4,3α + β, 2) w- (α, 0, 2β) Find the values of a and B such that u is parallel…

A: Given, u=2,1,-1v=-4,3α+β,2w=α,0,2β