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- 2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .arrow_forwardTake this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)arrow_forwardPlease solve first 4 partarrow_forward
- Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0. (10, 5) None of the listed answers.arrow_forward4. a. If 37– 2ỷ = đ and 53 – 3ỷ = b, express the vectors i and y in terms of a and b. %3D b. Solve for a, b, and c: (2, –1, c) + (a, b, 1) – 3(2, a, 4) = (-3, 1, 2c). %3Darrow_forwardif given the equation yi = B0 + B1xi +ui and express the same equation as y = xiB = ui (where xi and B here are vectors), does vector xi = [1 x1] or xi = [x1] (row vector) and B vector (column vector) = [B0; B1]?arrow_forward
- 6. Explain in words how a student would determine the magnitude of the vector P[2, 3, 1]. There is no need to solve the problem. You will be marked on how well you communicate your ideas. (arrow_forward2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 = 3 + 2x + 5x². pi i. -9-7x - 15x² ii. 6+11x + 6x² = iii. O iv. 7 + 8x + 9x² b. Suppose that vi = = (2, 1, 0, 3), v₂ = (3, −1, 5, 2), and №3 = (–1, 0, 2, 1). Which of the following vectors are in span {1, 2, 3}? i. (2, 3, -7,3) ii. (0,0,0,0) iii. (1,1,1,1) iv. (-4, 6, -13, 4)arrow_forwardProblem 3 Decide whether is a linear combination of the vectors 3 If yes, find the coefficients. ------ աշ = = 9 V= -5 2 - 8 - and uz = 2 -2 1arrow_forward
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