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Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

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Q: Determine the dot product of (0, 5, 10) and (-3, 1, 0).

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Q: Given vectors = (-6,-3) and = (-3,5); find -3u+40. O=(29,6) O=(-27,-15) O=(27,8) O=(-15,-27) 0 =…

A: The objective of this question is to find the resultant vector of -3u + 4v, where u and v are given…

Q: - Consider the vectors vi= and b Find the following Proj., b and Proj, b.

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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: Consider the two vectors A = 5 1 - 3 1 and B = -1-2j. (a) Calculate A + B 51 1+5 (b) Calculate A - B…

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Q: A rocket ship in space is not moving. The ship's crew performs a rocket burn which can be described…

A: The objective of the question is to understand the concept of vector addition and subtraction in the…

Q: Find all vectors u that satisfy the equation (1,1,1) xu= (9,-5,-4) BEBE Select the correct choice…

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Q: Find 3u, -5v, u + v, and 5u - 4v for the given vectors u and v. (Simplify your a u = i + j, v=i- j…

A: given vectors        u = i + j  and   v = i - j   then finding -   (1)  3u = 3 (i + j) = 3i +3j…

Q: You are given the following three vectors a = (9 -3 -1) T b = (2 0 2) T c = (-4 0 8) T Find the…

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Q: Find the angle between the vectors a = (4, 4, -2) and b = (5, -3, 3). Solution Since |al = V42 + 42…

A: Given:    a=4,4,-2    b=5,-3,3 The angle between two vectors is given by           cosθ=a·bab

Q: 1. Write the vector v = 3 as a linear combination of the vectors:

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