Consider vectors u and v. Find the following. (a) u v (b) u.u u = (-3, 0, 3), v = (-1, 6, 1) (c) ||v||² (d) (u.v)v (e) u. (4v)

Q: The vectors u-(2,-1,1) and v= (1,1,2) in R3, the angle e between u and v is

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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: Find u - v, u · u, ||v||², (u - v)v, and u - (3v). u = 4i + j - 2k, v = i - 3j + 2k (a) u: v (b) u.…

A: Dot product of two vector is - a→=  a1i^ +  a2j^ +  a3k^ b→=  bi^ +  b2j^ +  b3k^ a→.b→ =  a1 b1 +…

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

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Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). . u = 5i + j - 9k, v=i4j + 5k (a) (b) u. V u u (c) ||u||²

A: According to Bartleby's guide line we only do first three parts of multi-part questions.Given,

Q: Find u · v, u · u, ||v||, (u · v)v, and u · (3v). = (3, 12), v = (-4, 3) (a) u• v (b) u•u (c) ||v||2…

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Q: Find u. v, uu, ||u||², (u - v)v, and u . u = , V = (a) (b) u. V u . u (c) || u ||2 (e) (d) (u. v)v…

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

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

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Q: Let T: R² → R² be a reflection in the x-axis. Find the image of each vector. (a) (2,7) (b) (6, -8)…

A: T: R2 - >  R2 is a inear map which is basically reflection in the x Axis. Therefore for any point…

Q: Let T: R2 R be a reflection in the x-axis. Find the image of each vector. (a) (7, 6) (b) (9,-3) (c)…

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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) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (2, 1, 1), v = (3, 2, −1)

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Q: 7. Consider the following two vectors: u = (5, –3) and v = (2,3) (a) Evaluate |u| and |v|. (b) Find…

A: As per guidelines, we are supposed to do only the first three parts of multipart question. If you…

Q: 0 Let a = -(1)-(3) 0 What is a|2|b²+ a. b² ? and b= 2 be two vectors.

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Q: 6. For the vectors i and i given in problem 1, verify using the dot product that your answer for…

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Suppose that u · (v × w) = 3. Find (a) u · (w × v) (b) (v × w) · u (c) w · (u × v) (d) v · (u × w)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: In R, evaluate the alternating 2-form 5 = -3 · dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: In ℝ3, we have to evaluate the alternating 2-form ξ=-3·dx∧dy on the pair of vectors (a,b). a=4,2,12…

Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: (b) Consider the vectors u = (3,0) and 7 = (5,5). (i.) Find the size of the acute angle between u…

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Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

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Q: Find u · v, u · u, ||v||2, (u · v)v, and u · (3v). u = (3, -2, 5), v = (0, 7, 4) (a) u: v (b) u: u…

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Q: vectors u and v are such that ||u||=9, ||v||=6 and u*v=-1. Using properties of the dot product, find…

A: Given query is to find the value of the Indicated vector.

Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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Q: [2₂] -2 two vectors in R². (a) U₁ = V = [²2] and U₂ U2 = 3 -2 Determine whether (b) {V₁, V₂} span…

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