What are the components of the vector from P = (1, –1,1) to Q = (3, 2, 1) ? O (2, 3, 0) O (2, 0, 1) O (-2, –3, 0) O (-4, –1, –2) O (4, 1, 2)

Q: 1. y -2+ 2.

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Q: (а) (4, — 1, 2), (-4, 10, 2) (Ъ) (—3,0, 4), (5, — 1, 2), (1, 1, 3) (c) (8, – 1, 3), (4,0, 1)

A: As per rules, we will solve first three subparts: a) Given vectors are   u=4,-1,2, v=-4,10,2. To…

Q: Do question two only

A: Step 1: Assign variablesFrom the givena=⟨4,6,9⟩b=⟨−6,−3,2⟩Let:xa = 4ya = 6za = 9xb = -6yb = -3zb = 2…

Q: Select all possible vector equations for the line through the points (1,1,1) and (3,4,5). OF (t) =…

A: Note that the vector equation of the line passing through two points a→ and b→is given by:…

Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: Do question one only

A: (a)…

Q: If ū = 2î – î and w = î + 2ĵ, find the compo- nent form of V = ũ + w and sketch the specified vector…

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Q: { (1, 2, 1), (2, 1, 5) , (1, –4, 7) } (i) Prove that is linear dependent subset of R³. (ii)…

A: A set is linearly dependent if and only if one vector is linear combination of other vectors.

Q: What if the vector v was [ 7, 11, 3]

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Q: I need help with this assignment. they all should have 4 places after the decimal place unless the…

A: Solution:

Q: Do question 10 only

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Q: 11. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors…

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 – V1, 4v, +…

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Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: 21 -2 and y -3 3 Express the vector v as a linear combination of a -4 y.

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Q: Consider the vectors v₁ ví = (1,2,3,0), v = (0,1,2,3) and vg = (2,3, 4, -3) Let (1, 1, 1, 1) w (a)…

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Q: In each part, determine whether the vectors are linearly inde- pendent or are linearly dependent in…

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