Refer to the vectors given below. 1 --[-D-D-A-D-D-D-D = 0,44 = -4 45 = -4 = 1 42 = 1 3 1 Compute the following projections. (a) proju3 u2 proju3 42 = 3 3 1 46 = 4 u7 = 4 -8 -3 = -1 4

Q: Determine the dot products of the following pairs of vectors. (a) (3, 5), (3, -4) (b) (2, -5, 3),…

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Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

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Q: 3. Determine which of the pairs of vectors are orthogonal. (a) a = (b) u = (c) y = 8 12 -5 3,0 = -3…

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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: 4. Subtract the vectors shown. (blue - green)

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

Q: Refer to the vectors u₁ to ug. -0-0-0-0-0-0-0-0 U4 = -5, 45 = 1 46 = 5, 47 = 3 (b) -5 (c) = 1 U2 = 1…

A: we have given vectors we need to find the distance between the mentioned vector.

Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

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Q: 6 Describe two vectors a and b such that (a) a + 6 = and a+b= c; (b) ở + B = - B; (c) à + B = and…

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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: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

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Q: 1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two…

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