Given the points Q(-5, -4) and P(-3,7), determine the position vector of PQ. Select the correct answer below: O <-2, 11) O (11,2) (-11, -2) O (2, 11) O <(-11,2) O (-2,-11)

Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

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: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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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: If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? %3D А. (57, 17) В. (15, - 42) С. (15, 42)…

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w= (2, -2). (Enter…

A: We want to write v in linear combination of u and w.

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: Show that the three points (4, 2), (7, 5), (9, 4) lie on a right line.

A: Given points   Let A (4,2) , B (7,5) , C (9,4)

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

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: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A: This question is related to linearity of vectors, we will solve it using given information.

Q: Write v as a linear combination of u and w, if possible, where u = (3, 2) and w = (3, -1). (Enter…

A: Given  u=(3, 2),  w=(3, -1) and v=(-3, -2). Let  v = α·u + β·w We have to find the values of α and…

Q: Write v as a linear combination of u and w, if possible, where u = (3, 2) and w = (3, –1). (Enter…

A: Given: u=3, 2, v=6, 1 and w=3, -1. To write v as a linear combination of u and w. Solution: When one…

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

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Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

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Q: You did not do the orientation

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Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Find the difference between BC and CA where A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4).

A: Given A=(1,2,3) B=(3,-1,4) C=(-2,3,-4)

Q: Calculate the linear combination: 1(-2, 5, –4) + 2(5, –1,0) =

A: