Let ū = -27+ 95 and v = 4i- 7j. Compute each of the following. %3D (a) 2u – 30 (b) ||ū+ T|| Find a unit vector in the direction of o = (-1,2, 3). Find the value(s) of a for which ở = (-1, 2a – 1,3) and w = (2,2a + 3, 11-1

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: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Express the vector = [4] à = vi+ as a a linear combination of ₁ = [] [1] and = [] 02 V2-

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Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: skip the first 3 thank you

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Q: Which of the following vectors is not parallel to v = (4, -2, 1). Choose all that apply. %3D O (8,…

A: We know that a vector a is parallel to vector b if a can be expressed as scalar multiple of b. Given…

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

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Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: Find u + v, u - v, and 3u - 5v. Then sketch each resultant vector. u = (4, 6), v = (7, 0) (a) u+v u…

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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: Find Vectors and Perform Vector Operations in R³ Let a = (0, – 5, 5) and 6 = (4, 2, — 5). Find – 2ā…

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b)…

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