From the following coordinate points, determine the value of Z so that the vectors AB and CD are equipollent A=(3,2,5) B=(2,-1,0) C = (X,Y,Z) D= (6,5,1)

Q: show that the vectors: 2,3), II

A: To prove that the vectors:     v1=(1, 2, 3), v2=(-2, 1, 1), and v3=8, 6, 10 in ℝ3  are linear…

Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

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Q: Find a vector, w, which is perpendicular to the vectors where u = 101-20 +14k and v=-20 +10ĵ-5k W +…

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Q: Find the value of a so that the vectors a = (34, -22, 49), b= (5, 51, 35). and c = (a, -394, -14)…

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Q: Find the value of  x  so that the two vectors  (27,1,13)  and   (x,0,1)  are orthogonal

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Q: Let = PQ, where P = (1,4), Q = (-1,5). Using the following points, which pairs form vectors that are…

A: v→=PQ→P=(1,4)Q=(-1,5)PQ→=Q→-P→

Q: b Find all vectors W (W₁, W2, W3) that satisfy the equation: (3,1,4) x W = (-3,1,2).

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Q: Find a unit vector parallel to the line y = 7x – 3. Use the scalar product to find the angle between…

A: The equation of given line is:.Suppose,.So,.So, the parametric equation of the line is:So, the line…

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: Find the Values of for which vectors linearly dependent the are -3 4 -5 8. 6. - 2 6. -8

A: Given that three vectors are linearly dependent.

Q: Determine the angles between the following pairs of vectors. (a) (−1, 1), (0, 1)     (b) (2, 0), (1,…

A: To determine the angles between the following pairs of vectors.

Q: photo is attached

A: Given informationVector V = (-3, 5)

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Consider the vectors i = (6,4), i = (-2,6), = (4, 2), and i = (-2, 3). Which of these vectors are…

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: Let x and y be unit vectors. Find the value of (x-10y) (x+10y) (x - 10y) (x+10y) =

A: Given that 'x' and 'y' be the unit vectors. To find the value of

Q: Write a = 18 (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to b = If a = a…

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