Gp3_Hwk1 - Group 3 Homework 1 MULTIPLE CHOICE Choose the...

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Group 3 Homework 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vector proj v u. 1) v = 2 i - 2 j - 4 k, u = 5 i - 12 k 1) A) 290 169 i - 696 169 k B) 290 13 i - 696 169 k C) 29 12 i - 29 12 j - 29 12 k D) 29 6 i - 29 6 j - 29 3 k Express the vector in the form v = v 1 i + v 2 j + v 3 2) P 1 P 2 if P 1 is the point (4, 4, - 4) and P 2 is the point (6, 1, - 8) A) v = - 2 i + 3 j - 4 k B) v = 2 i - 3 j - 4 k C) v = - 2 i + 3 j + 4 k D) v = - 2 i - 3 j + 4 k Solve the problem. k. 2)
3) Find the vector from the origin to the center of mass of a thin triangular plate (uniform density) whose vertices are A(4, 5, 2), B(6, 7, 3), and C(8, 5, 2). 3) A) - 1 i + 1 3 j + 1 k B) 6 i + 17 3 j + 7 3 k C) - 2 i + 2 3 j + 2 k D) - 3 i + 1 j + 3 k Express the vector as a product of its length and direction. 4) - 8 3 i - 8 j + 2 k 4) A) 676 9 - 4 13 i - 12 13 j + 3 13 k B) 26 3 - 4 13 i - 12 13 j + 3 13 k C) 3 26 5) 6 i + 12 j + 12 k 5) A) 18(6 i + 12 j + 12 k ) B) 18 1 54 i + 1 27 j + 1 27 k C) 18 1 3 i + 2 3 j + 2 Find the vector proj v u. 6) v = 3 i - j + 3 k, u = 11 i + 2 j + 10 k 6) A) 183 19 i - 61 19 j + 183 19 k B) 671 225 i + 122 225 j + 122 45 k C) 671 15 i + 122 15 j + 122 3 k Solve the problem. 3 k

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