) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and w = vectors u = (0,0, 5). Find the following vectors.

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point…

A: The Parametric equations of the line are the components of the vector equation , and have the form…

Q: linear Consider the following vectors in R³: V= (-1,7,2), u₁₁ = (1,3,5) U1₂ = (2₁-1₁3), (13=…

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Q: Let A = (-3, 4), B = (-2, b), C = (1, 6), and D = (a, 2). Then AB and DC are opposite sides of the…

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Q: Sketch 2v, -w, v+w, and 2v-w for the vectors in Figure 24. 5 y 4 3 v = (2,3) 2 1 w = (4, 1)

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Q: why are the position vectors of D, E, F (b+c)/2, (a+c)/2 ect and not D= (c-b)/2, E= (c-a)/2, F=…

A: The objective is to determine why are the position vectors of D, E, F are b+c2,a+c2, and…

Q: Suppose we know that Write A 6 as a linear combination of the vectors 5 8- 5 6 = 0 H + 6 1 1 -DE-B H…

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Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

Q: Find the vector that has the same direction as 9 F-10, 6, -2)

A: Given vector is (6,2,-3) Length of the vector is 3.

Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

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Q: How many different direction vectors does a line have?

A: Query - How many different direction vectors does a line have? Answer- Direction numbers is a number…

Q: 27. Determine the area of the parallelogram formed by the vectors u=[3,-2,5] and v=[-1,4,2].

A: Step 1:

Q: Suppose that v1 = (5, 1, 0, 5), v2 = (5, -3, 6, 2) and v3 = (-5,0, 5, 2). %3! Is the following…

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Q: Write a = 18 (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to b = If a = a…

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