Identify the vectors that are orthogonal to v = (1,2, 1) but not to w = (1,0, – 1). 口(-2,2,0) (-1, 1, – 1) O (0, –1,2) 口(-3,1, 1) 口(1,1, 1)

Q: Find a non-zero vector w E R4 which is orthogonal to all of the following vectors: -2 -3 2 -3 Enter…

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Q: Find the vector z, given that u = (3, -2, 5), v = (0, 2, 1), and w = Z= z = −u + 4v + 1 _W 2 (-6,…

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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: Find the coordinate vector of w relative to the basis S = { u1, u2}for R². u 1 = (20, – 20), u 2 =…

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Q: For the given vectors u andi, find the value of u v and normalize 1. u = (2,7,–1,20), 2. ü = (3,…

A: The dot product and addition of two vectors is given by Given…

Q: w = (-2,0) , v1 = (-1,2), v2 = (4, –8) , vz = (-1,1). If possible, express w as a linear combination…

A: Let us assume -20=a-12+b4-8+c-11. So,               -20=a-12+b4-8+c-11⇒-20=-a+4b-c2a-8b+c⇒a=4b-2,…

Q: Given the vectors in parts a) and b), determine whether u, v, and w lie in the same plane when…

A: We have to determine whether vectors u, v and w lie in the same plane when positioned so that their…

Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

Q: Given two vectors e1=(1, 0, 0)T and e3=(0, 0, 1)T in the 3D space, figure out c) e1 × e3

A: Given two vectors e1=(1, 0, 0)T and e3=(0, 0, 1)T to Find e1 × e3

Q: Find the magnitude R and direction 0 of the resultant vectors. 7.0N 5.0N 5.0N 6.0N 2.5N 80 20 30 10…

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

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

A: Given: Some pairs of vectors. To find: Which of the pairs are linearly independent. Linearly…

Q: The set S = {v1, V2, V3} where vị = (-1,1,1), v2 (1,-1,1), v3 = (1,1,-1) is a The vector v whose…

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Q: Find the vector z, given that u = ⟨5, −2, 3⟩, v = ⟨0, 2, 1⟩, and w = ⟨−6, −6, 2⟩. .   z = −u + 3v +…

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Q: The norm of the vector v = (-4, 4, -5, -3) is O y66 O 30 O y6I 66 O 61 O y30 O7 O None of the other…

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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: Express the vector in the form (V= a i+ b j+ c k) *, if A(1,0,3) and B is (-1,4,5): * V= -2 i+ 4 j…

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Q: Which of the following pairs of vectors are linearly independent? u= (1,2) and w = (-2,-4). u= (1,0)…

A: If an ordered pair (x,y) can be written as k(x,y) for k any integer.

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: find the components of the vector −→P Q. P = (1, 0, 1), Q = (2, 1, 0)

A: Given  P=<1,0,1>Q=<2,1,0> The component form of a vector is the ordered pair that…

Q: Choose the linearly dependent vectors in R Select one: a. b. С. 2. d.

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Q: Find the projection of the vector a = (2, 5, 1) on the vector b = (1, 1, 3) O a. (10/11)(ax + 3ay +…

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Q: (d) Let w =(-39,22), v’i=(2–5), v°2=(5,-4), v°3=(-4,-1). If possible, express w as a linear…

A: In this question we need to multiply vectors by constant and have to find values of constant

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

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Q: Find the coordinate vector of v relative to the basis S = {v1,v2, V3} for R3. v = (-11,–17, 7) (3,0,…

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Q: Find the vector z, given that u = ⟨1, 2, 3⟩, v = ⟨2, 2, −1⟩, and w = ⟨4, 0, −4⟩.     z = 5u − 3v −…

A: Given: u=1,2,3, v=2,2,-1, w=4,0,-4 for finding given vector z, we use given values

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: Choose the linearly dependent vectors in R Select one: -2 b. d. 2.

A: From a given set of four vectors we need to find the set of vectors which is linearly dependent in…

Q: Which of the following vectors in R4 has the largest mangnitude? A. (4,0,0,-1) B. (0, -3,3,0) C.…

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Q: Refer to the vectors given below. -5 4 u1 = , U6 5 , u7 U2 Uz = U4 U5 = -1 4 4 -1 -4 Normalize the…

A: Normalizing a vector means finding a vector in the direction of the same vector with unit magnitude.…

Q: Which of the following pairs of vectors are orthogonal? Our(1, 1, -1), v 2, 2, 2 ) Ou(1,0, -1), v(…

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

Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: This Linear Algebra and Multivariate Calculus Course ,      Consider the vectors u = [3,-1,2], v…

A: given the vectors u = [3,-1,2], v = [-2,0,2] and w = [1,-1,-2 ]. we need to find the angle between…

Q: Given two vectors e1=(1, 0, 0)T and e3=(0, 0, 1)T in the 3D space, figure out  a) e1 + e3​

A: Given e1=100 and e3=001 To find e1+e3

Q: Find the coordinate vector for w relative to the basis S= {u1, u2} for R2. uj = (1, 0), u2= (0, 1);…

A: Here we use basic defnition of change of basis coordinate

Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R u 1 = (4, – 4), u 2 = (4,…

A: Given: u1=4,-4u2=4,4w=0,24

Q: Find the vector z, given that u = , v = , and w = . z = 8u − 2v − 1/2w

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

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Q: Consider the vectors u =(1,0,4) and v =(-4,11,-4) in R3. If it is known that -3u" +w =v° then w…

A: From the given problem: u=1,0,4; v=-4,11,-4 So, -3u=-31,0,4=-3·1,-3·0,-3·4=-3,0,-12

Q: A. Find the values of a are orthogonal . such that vectors and

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the best approximation to z by vectors of the form c, v, + C, V2. 4 2 -5 1 1 z= 2 3 -1 The best…

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Q: Find the values of x such that the vectors (4x, , 3) and (2,x,5) are orthogonal. Select all that…

A: Find the value s of x for which the vectors are orthogonal

Q: If A= (3/2) i –(½) j + k and B= i+j+2k, what is the value of A x B? Are the vectors orthogonal? O…

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Q: Determine whether the vectors u, v, and w are linearly independent or dependent. If they are…

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Q: Find all value(s) of 1.if any, so that the vectors (4-1,1).(-1,22). (-1,-1, a) OA A= 2 O B. 1 = 1 O…

A: The solution for linearly dependent vectors

Q: Find the best approximation to z by vectors of the form c,v1 + C2V2. 2 1 - 5 1 - 1 3 - 3 2 1 1 The…

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Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 3 6 1 V2 = 1 V1 = - 2 4 3 - 2…

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Q: Vector and Electromagnetics

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R². u 1 = (5, – 5), u 2 =…

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Q: Consider the vectors v1 = (2, –1, 5), v2 = (1, 3, -4), V3 = (-3, -9, 12) in R³. (a) Show that {v1,…

A: (a) The vectors v1 , v2 , v3 are linearly dependent if the determinant of the matrix formed by the…

Q: Find values of a e R such that the vectors (–11, a, 2) and (a, a?, a) are orthogonal O A. 0, 2, –2 О…

A: given,      two vectors -11,α,2 and α,α2,α are orthogonal.