Given u = and v has an initial point of (3, 2) and a terminal point of (7, -1), A. Find 3v + 2u B. Write 3v + 2u as a linear combination

Q: Let u = (-6,1) and let v = (6,-3). Find the value of u ÷ v

A: If we have two real numbers x and y  x/y=z ; Only is yz=x Similarly

Q: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

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Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: = 5i + 4j and v=4i - 3j, determine -9u - v. Given u O-9u - v = -49i - 33j O-9u - v = -40i - 42j O-9u…

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Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: Determine all values of the constants a0,a1,a2, and a3 such that x3+2x =a0P0+a1P1+a2P2+a3P3.

A: We are given the following equation: x3+2x=a0P0+a1P1+a2P2+a3P3 Our aim is to find the values of all…

Q: Express P,P2 in the form v= vi+ V2j +v3k if P, is the point (5, - 6, - 5) and P2 is the point (7,-…

A: By using vector property

Q: Express 4 as a linear combination of 72 and 104. Find x and y such that 4=72x+104y

A: We have to express 4 as a linear combination of 72 and 104  That is, we have to find x and y such…

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Find projvu if scalvu = -2 and v = ⟨2, -1, -2⟩.

A: Consider the given vector.u=-2 and v=<2,-1,-2>.The projection is defined as,Projection of…

Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

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Q: Which equation has exactly one solution? CLEAR 6x +5-3x = -3x +5+6x 6x + 5 - 3x = 3x +5-3z 6x +10…

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Q: If JL = 5x + 1 and MK = 8x - 32, find JL %3D and NK. M JL = NK =

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Q: -5 4x If possible, write -5 - 4x - 2x² as a linear combination of 2 - x + x²,-2-x² and x - 5 2x².…

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Q: 2p2 – 7p = 14   p = (7 +  \/273)/4                             b.      p = (-2 +  \/14)/7   p =…

A: We have to simplify the expression 2p2-7p=14.

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

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Q: 8A · 19^.

A: The given expression is 64·83. The following rule is used in simplifying the given expression.…

Q: Find x if BC=1,AC=x+5 and AB=2x-2

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Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: If possible, write 25 – 21x – 14x² as a linear combination of 2 − x − x², 2 – 2x − x² and 3x − 3 +…

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Q: If possible, write -3 -z- 2r² as a linear combination of 2 +z + x², 2+ 2x + z and 3+ 3x + 2x2.…

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Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: Find

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Q: Calculate the linear combination: 1 (2, 2, –4) + 4 (-2, 3, 2) = %3D

A: Linear combination of a set of vectors: Let us consider V be a vector space over the field F. Let…