Gp1_Hwk1 - Group 1 Homework 1 MULTIPLE CHOICE Choose the...

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Group 1 Homework 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Find a vector of magnitude 9 in the direction opposite to the direction of v = 1 2.5 i + 1 2.5 j - 1 2.5 k . 1) A) 7.5 3 - 1 2.5 i - 1 2.5 j + 1 2.5 k B) 9 1 2.5 i + 1 2.5 j - 1 2.5 k
2) 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). 2) A) - 1 i + 1 3 j + 1 k B) - 3 i + 1 j + 3 k C) - 2 i + 2 3 j + 2 k D) 6 i + 17 3 j + 7 3 k Express the vector as a product of its length and direction. 3) - 5 7 i - 12 7 j 3) A) 13 7 - 5 7 i - 12 7 j B) 13 7 ( - i - j ) C) 13 7 - 5 13 i - 12 13 j 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 3 i + 2 3 j + 2 3 k C) 18 1 54 i + 1 27 j + 1 27 k Find an equation for the line that passes through the given point and satisfies the given conditions. 6) P = (8, 3); parallel to v = 2 i + 8 j 6) A) 8x - 2y = 58 B) 2x + 8y = 68 C) y - 3 = - 5 6 (x - 2) D) 2x + 8y = 40 7) P = ( - 6, - 2); perpendicular to v = - 3 i + 9 j 7) A) - 3x + 9y = 0 B) y + 2 = 11 3 (x +
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