cal3-test-1-review

cal3-test-1-review - Cal III: Test 1 Review

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Unformatted text preview: Cal III: Test 1 Review Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the corresponding position vector. 1) Define the points P = (- 2, 4) and Q = (- 9, - 4). Find the position vector corresponding to PQ . A) 7, 8 B)- 11, 0 C) 2, - 4 D)- 7, - 8 1) Express the vector in the form ai + bj. 2) P 1 P 2 if P 1 is the point (1, - 1) and P 2 is the point (3, - 4) A) v = 2 i- 3 j B) v =- i + 3 j C) v =- 2 i + 3 j D) v =- 2 i- 3 j 2) Find the indicated vector. 3) Let u = 9, 9 , v = 1, 4 . Find u- 4 v . A) 5, - 7 B) 13, 25 C) 18, - 20 D) 10, - 52 3) Express the vector in the form ai + bj + ck. 4) P 1 P 2 if P 1 is the point (3, 3, 4) and P 2 is the point (5, 0, 0) 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 4) 5) 3 u- 5 v if u = 1, 1, 0 and v = 3, 0, 1 A) v =- 12 i + 3 j - 5 k B) v =- 12 i + 8 j- 5 k C) v = 3 i + 3 j - 5 k D) v = 18 i + 3 j - 5 k 5) Find an equation for the sphere with the given center and radius. 6) Center (- 7, 5, 0), radius = 4 A) x 2 + y 2 + z 2 + 14x + 10y =- 58 B) x 2 + y 2 + z 2 + 14x - 10y =- 58 C) x 2 + y 2 + z 2- 14x - 10y =- 58 D) x 2 + y 2 + z 2- 14x + 10y =- 58 6) Find v u. 7) v = 5 i- 2 j and u =- 8 i- 7 j A)- 3 i- 9 j B)- 54 C)- 26 D)- 40 i + 14 j 7) Find the angle between u and v in radians. 8) u = 10 i + 3 j + 5 k , v = 7 i + 6 j + 9 k A) 1.11 B) 1.49 C) 0.47 D) 1.10 8) 9) u = 7 j- 9 k , v = 3 i- 5 j- 2 k A)- 0.24 B) 1.67 C) 1.82 D) 1.57 9) Find proj v u. 10) v = i + j + k, u = 4 i + 12 j + 3 k A) 19 13 i + 19 13 j + 19 13 k B) 19 169 i + 19 169 j + 19 169 k C) 19 3 i + 19 3 j + 19 3 k D) 20 3 i + 20 3 j + 20 3 k 10) 1 11) v = k, u = 2 i + 6 j + 9 k A) 18 121 i + 54 121 j + 81 121 k B) 18 11 i + 54 11 j + 81 11 k C) 9 k D) 9 121 k 11) Solve the problem.Solve the problem....
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cal3-test-1-review - Cal III: Test 1 Review

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