W If the vectors in the figure satisfy u= |v=1 and u + v +w = 0, then what is w?

Q: Let vy = (1,0, -2), v2 = (-2, 1, 7), v3 = (h. –3, –-5) be three vectors in R³. For what value(s) of…

A: Given vectors from the vector space ℝ3 are v1=1, 0, -2, v2=-2, 1, 7 and v3=h, -3, -5. We have to…

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

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Q: Which of the following vectors is perpendicular to v = (1, –1, 3) ? о (2, —1, —1) O (-1, –1, 2) о…

A: Two vectors (a, b, c) and (x, y, z) are said to be perpendicular when their dot product ax+by+cz=0

Q: Nº1. Problem Show that the vectors u = 3i – 2j + k and v = 2j + 4k are orthogonal.

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Q: 2 Consider the vectors u = 1 v = w = -1. Is the 2 set {u, v, w} linearly independent or linearly…

A: It is linearly dependent.

Q: 4. Let u=[1,2,3] and v= [-2,–1,3]. Compute the following: a) u· v b) 0 the angle between the vectors…

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Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: а - 2b a,b eR Q Assume that S= a . Is the vector (0, 4, 2) in S? Select one: True False

A: Solution is given below:

Q: 12. For which values of parameter a, the vectors. °u = (1, a, 2) and °v = (a, 4, 4) are

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Q: (e) 5. Compute the angle between the vectors [1, –1,0, 1] and [0, 1,0, 2]. 6. Compute the…

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Q: c. Suppose there is a vector w with u w =

A: Note: As per our guideline we can not author a handwritten solution. Introduction: The dot product…

Q: -U 1. Let the vector u = -i +3j+k, find 12

A: Solution :

Q: For which value of k the two vectors u=(3,3.k) and v= (-4,8,1) are orthogonal? * k=12 O None of…

A: Introduction: We know that two vectors u=(x,y,z) and v=(a,b,c) are orthogonal if and only if, u·v=0

Q: -3 3 Let u = -5 and i: 7 Find a vector w not in span {u, v}. 4 -3

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Q: We have three vectors ủ, v and w in R4: 1 2 1 -1 1 (7a) Are these vectors ū, v and ú linearly…

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Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D…

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6…

Q: 7.) Let u = (3,1), v = (-8,4) and w = (-6,-2). Find the magnitude of each vector: a) -2(w+ 2u) 2 - -…

A: Here we find the magnitude vector.

Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

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Q: 3. The line through the point (2, 2.4, 3.5) and parallel to the vector 3i+j - k Answer +

A: The line through the point (2,2.4,3.5) and parallel to the vector 3i+j-k is .

Q: Determine all vectors v that are orthogonal to u. (Set v, = t and v3 = s and solve for v, in terms…

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Q: let V be the Euclidean space R3 with the standard inner product.

A: Given:          u = 11-2  and  v = a-12 To find :             The values of a, for which u and v…

Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: Find the terminal point Q of the vector v = 7i-j+3k given the initial point is P(-2, 3, 5) О (5, 2,…

A: In this question we have to find the terminal point of Q.

Q: (1 k and 7 are orthogonal, determine the k-2 4 e vector u = -4 in the direction of the ve fa vector…

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Q: 1. The vector x expressed in terms of the vectors w and u а) w — и с) w + u b) и — w м.п (р

A: …

Q: 1. Given the following vectors: u=(1, 2, -4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v

A: Given: u=(1,2-4) v=(2,3,5) To find:  (a) u.v (b) u.u (c) (u.v)v

Q: 17. Let ú and v be two vectors with = ū x i = 2 and u· i = -2 the angle 0 between u and v.

A: Find the angle between two vector

Q: 8. ... The value(s) of h which makes the vectors linearly dependent is(are) because this will cause…

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Q: 13. Find r so that the vector from the point A(1, -1, 3) to the point B(3, 0, 5) is orthogonal to…

A: Vector question

Q: o find the image of v and the preimage of w. , 2vq – v2 ), v = (1, 1), w = (-7/7, 2, -20) age of v…

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Q: 9. Find the vector triple product of vectors u, v and w. =(2,-1,3), v=(0,1,7), w=(1,4,5) (a) ux(vxw)…

A: The solution of the problem is given in the next steps.

Q: 2) Let u = (1,–2, 1) and v = (3,0, 5) a. What is the angle between u and v? b. Find a vector w that…

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Q: 2 -2 The distance between the vectors u= and V = 1 is: 2

A: Concept:

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v

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Q: - 4 and v = 3 v•u 5 Compute u • u, v•u, and using the vectors u = 7 n.n

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Q: et u = (4, 2), v = (1, 3), and w = (0,-2). Find the vector T that satisfies 10u - 0+ = 47 + w. In…

A: We have to find x

Q: Find the sum of the vectors. u = (4, –1), v = (-1, -4) u + v = Illustrate the sum geometrically. y y…

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Q: 1. Let u and v be vectors in R". Suppose ||u||2 = 2, ||v||² = 1, and u·v = 1. Compute

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Q: The vector v and its initial point are given. Find the terminal point. v = (2, -3, 6) Initial point:…

A: We know that a vector is terminal point - initial point.

Q: 5: The vectors v = [1 2 9] and w= [2 4 18] are linearly independent vectors. O True O False

A: We will find the given two vectors are linearly independent is true or false in the following step.

Q: 7 For what value of k are the vectors u Select one alternative: Ok=-1 Ok=-2 Ok=1 Ok=2 (1,-1,-1) and…

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Q: Two vectors u and v are given. u =    1, −1, −1   ,   v =    −1, −1, −1

A: We will find a vector which is orthogonal to both u & v. Then we will normalize it to find a…

Q: (b) If u and v are vectors in R' such that ||ū|| = 1 and |||| = 2 then u · i# 10.

A: The angle between two vectors and Dot product in R3 is related by

Q: The distance vector from P1 (6,7/2,0) to P2 (2, 31/2,0) is O a. -8 ar O b. None is correct Oc-8 ap +…

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Q: O O O For which value of k the two vectors u=(3,k,-4) and v= (-4,8,1) are orthogonal? * None of…

A: Given  the two vector u = (3, k, -4) and v = (-4,8,1) we have to find for which value of k the two…

Q: -1 and v = V•u 7 Compute u• u, v•u, and using the vectors u = u•u (Simplify your answer.) =n.n

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Q: Find vectors that satisfy the given conditions: 1. The vector in the opposite direction to u = (1,…

A: As per guidelines we have to solve the 1st one

Q: 1 Let v be the vector 2 . The vector of length 3 in the opposite direction as v is -2 Select one: а.…

A:

Q: 1 Let v be the vector . The vector of length 3 in the opposite direction as v is -2 Select one: V3…

A: we are given the vector  v=i+2j-2k

Q: Express the indicated vector w as a linear combination of the given vectors u,v if possible. w =…

A: Given that, W = ( 1, 0 , -7) u = ( 5, 3 , 4) V = ( 3, 2, 5) Let the a  and b be the any scalar…