Determine whether the given vectors are orthogonal, parallel, or neither. (a) а 3 (9, 6), ь 3D(-4, 6) orthogonal parallel neither (b) а 3 (6, 7, -2), ь %3 (5, -1, 7) orthogonal parallel neither (c) a = -3i + 6j + 9k, b = 2i – 4j – 6k orthogonal parallel neither (d) a = 4i – j + 4k, b = 5i + 12j – 2k orthogonal parallel neither

Q: Find the vector in AB R2 given in the figure. 6 AB = help 4 (vectors) 1 2 3 -1 -6 -5 -4 -3 -2 -1 6.…

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Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. 3(0, -3), v (-5, 0) %3D 2u = -3v = u…

A: Given,u = 0, -3v = -5,  0

Q: True or false: Given two nonzero vectors v and w, v can be decomposed into two vectors, one parallel…

A: Given: Two nonzero vectors v and w, v can be decomposed into two vectors, one parallel to w and the…

Q: Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A = and B =…

A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: The zero vector 0 (0, 0, 0) can be written as a linear combination of the vectors V1, V2, and v3…

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Q: . For what values of c are the vectors [−8, c, 4] and [c, c^2, c] orthogonal?

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Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

A: Linearly independent

Q: Find two non parallel and two parallel vectors both orthogonal to (1, 2, 3)

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Q: Which of the following vectors is orthogonal to (1, −1, 1, −1)? A. (-1,1,-1,1)  B. (-1,-1,-1,-1) C.…

A: Let's find orthogonal vector.

Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

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Q: 12 2 Determine if the pair of vectors v₁ = 3 V₂ = =-3 are orthogonal. -5 3

A: We have to find whether the given two vectors are orthogonal or not?

Q: Of the vectors u = (2, -1); v = (-1, -2); w = (-4, 2) and o = (4, 2) are orthogonal:   w and o u…

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Q: Determine if the vector v is a linear combination of the remaining vectors.

A: Given vectors are: v=123; u1=110; u2=011 If the vector v is a linear combination of the remaining…

Q: 1. Determine whether the vectors vi (1,2,3), v2 (2,4, 5), and v3 (1,0,0) are independent.

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Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: 2) Show that if u and v are orthogonal unit vectors in R*, then. a) -4=7 b) The vectors a+v and…

A: The set of vectors u1,u2,…,uk of ℝn is said to be orthogonal unit vectors of ℝn if the inner product…

Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: 9. V =|-1 Write the vector as the linear combination of the basis vectors 3 4 and u, =|- 3 u, = 2…

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Q: -2 Find Q for the QR factorization of A -5 , given the orthogonal vectors -1 -3 2 -0.89 Vi = -5 , V3…

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Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Find two linearly independent vectors perpendicular to the vector V = 3 -5

A: Let's find.

Q: Consider the vectors in R2 3 2 (3) Express as a linear combination of the vectors Select one:…

A: Here we have to find the linear combination.

Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

Q: 17 (c) Find a unit vector which is orthogonal to the vectors -1 2 and 1 -3 5

A: First we will find a vector which is orthogonal to both given vectors and then we will find the unit…

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A: Two vecors are orthogonal if their dot product comea out to be zero.

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9, 3), v = (-2,…

A: The given two vectors are u=9, 3 and v=-2, 6 We have to determine whether the given two vectors are…

Q: Suppose u¯¯¯=⟨0,1⟩u¯=⟨0,1⟩ and v¯¯¯=⟨2,1⟩v¯=⟨2,1⟩ are two vectors that form the sides of a…

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Q: let the vectors u = (- 2, -9, -8) and v = (- 4, -4, T) the value of T so that u and v are…

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Q: Find two linearly independent vectors perpendicular to the vector 4 -7

A: This question can be solved using the concept of linearly independent vectors.

Q: Which two vectors are orthogonal if given a =,b = and c =

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Q: -4 If possible, express w as a linear combination of the vectors v1, v2 and v3. Otherwise, enter…

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Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

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Q: Find two linearly independent vectors perpendicular to the w 41 -6- 1

A: Given: vector is v→=4-91 we have to find the two linear independent vectors perpendicular the given…

Q: Determine whether the given vectors are orthogonal, parallel, or neither. a. å = (-5,3,7), b =…

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Q: + 22 -t-01 -6z - 2y -5z +2t-0f 22 Find two vectors which span U U = Span Enter your answers as comma…

A: From the given vector space we write the given conditions in the form of matrix multiplication as…

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = = (-2,…

A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: -2 is a linear combination of the vectors 4. For which value of k the vector u = 3 2 3 and v2 of the…

A: Given the given vectors are u=1-2kv1=30-2v2=2-1-5

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: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v =…

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Q: 7. Find the cross product of the vectors (a) u=(1,2,-3) v=(-4,1,2) (b) u = (0,1,- 2) v = (3,0, - 4)

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v2, and vz…

A: Given vectors are v1 = (1, 0, 1) v2 = (-1, 1, 2) v3 = (0, 7, 4)

Q: a-(:) We have two vectors: a = and b= What is the resultant of -a plus b? (

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Q: Q3/ Determine whether the given vectors are orthogonal, parallel or neither: (1) u =(-2, 6, -4) , v…

A: Given that two vector u and v and prove that its orthogonal , parallel or neither.     Here i…

Q: Find the orthogonal projection of the vector a (-9,-8, 7) in the direction of the (-3,-5,-2). vector…

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Q: 2a)Use triple scalar to verify that the following vectors are not coplanar. a=[-2,1,0], 5=[-3,4,5],…

A: Given problem:- 2a)Use triple scalar to verify that the following vectors are not coplanar.…

Q: Determine if the vector v is a linear combination of the remaining vectors.

A: Given vectors are : v =3.22.0-2.6,  u1 = 1.00.44.8 ,  u2 = 3.41.4-6.4 , u3 = -1.20.2-1.0 If the…

Q: ermine whether the given vectors are orthogonal, parallel, or neither (a) a = (-5,3,7) and 5= (6,-8,…

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Q: Find a vector orthogonal to the vectors ā = and 5=.

A: Recall:  Vector orthogonal to the vectors a→ and b→ is a→×b→a→×b→ We have, a→=1,2,3, b→=1,0,1