V1 || The vectors 2 -5 O " V₂ = -5 2 7 form a basis for R³ if and only if k# and V3 = -16 -2 B k

Q: The projection of the vector 5î + 5ĵ – 5k onto the vector –4î + 2ĵ – 4k. | |

A: We have to find out

Q: Question 11 Define the following sets as: A = {1, 2, 3, 4, 5} B = {4, 5, 6} C = {0,1} What is B x C…

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Q: let u = 2i -5j  ;   v =-3i+7j  ;    w=-i-6j Find each specified vector of scalar A. 3w+2v b.…

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Q: 3. (a) Explain why there is no vector i such that (3, –1, 4) × J = (-5,1, –4). (b) Explain why there…

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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: (1 point) Express the vector = 8 as a sum of the basis vectors x = and y = %3D -13 xt j. = Netes V

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Q: V₁ = V1 V3 = V2= 4 [ 3 [-1] 2 3]

A: We use the properties of linear combination to

Q: 5s + 31 Let W be the set of all vectors of the form 2s+t Find vectors i and i in R such that W =…

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Q: The graph below shows vectors u, v and w. 5- -5 -4 -3 ν 4 3 2 -2 2 3 -1 W -2 -3 -4 -5 Clear All…

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Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

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Q: 8.) Find a vectorx such that 5x-2v=2(u-5x) SOLUTION

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Q: 3 2. (а) Do the vectors vị = -1 -1 form a basis for R³? , V3 = 1 > V2 = -I--- (b) Do the vectors vị…

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Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: Find a complex vector d so that if F{(fo, ƒ1, ƒ2 ƒ3)} = ċ then F{(−fo, − ƒ₁, 0, 0)} = č ® ā.

A: According to the given data, find the vector d:

Q: A C -³/4 - 1/4 9/8 - 1/4 - 1/4 AZ = O 1/8 1/4 Find the vector 7 such that. 2 O (note: DON'T USE…

A: Give that, A-1=-34-14098-1814-14-140 and Ax→=206 We have to find the value of x→

Q: a) Find all the real numbers à such the vectors 1- x 1+x and x+1 1 are orthogonal.

A: Two vectors are said to be orthogonal if their dot product is zero. Dot Product There are two…

Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

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Q: The vectors : 1 3 5 2 = = 11 --8-8-6 = 0 7 form a basis for R³ if and only if k k

A: Given vectors form basis for R^3 iff when k=21.Explanation:Three vectors from R3 from basis for  R3…

Q: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: a The vector b can be expressed in the basis с 0 0 CHEED-E- -2 -2 -3 as What is -3 -4 0 -2 the…

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Q: Describe the solutions of x1 + 2x2 – 3x3 = 5, 2x1 + x2 – 3x3 = 13, and –x1 + x2 = -8 %3D in…

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Q: Find a basis for the set of all 2 vectors of the form a – 2b + 5c 2a + 5b – 8c (Be careful.) -a – 4b…

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Q: 3- Rewrite the vector v in the form a + ib, where vectors a and b have only real components.

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Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

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