Let u = [-1 3 -1] and v =[-6 0 5]. Find the vector w = 2u – 7v and its additive inverse. %3D

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Let a = (- 6, 3) and b = (1, – 4). Compute the dot product.

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Q: Find the dot product of a = and b = .

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Q: Write the vector-valued function for the line containing (2.6,7) and (-4,-1.2). Use the equation…

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Q: Find the following dot product. (-19,3) · (16,-6)

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Q: 2. Write the matrix that could be used to rotate a vector 200 degrees clockwise about the origin.…

A: We have to find the matrix that could be used to rotate a vector 200 degrees clockwise about the…

Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

A: To find the component of vector b onto vector a, we use the formula: Component of b onto…

Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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Q: X₁ A. 2 -4 O C. 7 -5 HHH + X3 1 Choose the correct answer below. + X₂ 2x₁ + 7x₂ + 5xX3 = 0 4x₁ + 5x₂…

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Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

A: Solution:-

Q: Determine which of the following vectors are orthogonal to each other: 12 2 X = 3 X2 1 X3 -3 -5 3

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Q: Let à = (6, 6) and 6 = (-4, 7). Compute the dot product. ā.b=

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Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: Determine whether the vectors are linearly independent. BA -4 -6 2

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Q: Let W= W= , V1 = , V2 = V3 = If possible, express w as a linear combination of the vectors v₁1, V2…

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