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cal3-test-1-review

# cal3-test-1-review - Cal III Test 1 Review Name MULTIPLE...

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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) 4) 5)3 u - 5 v if u = 1, 1, 0 and v = 3, 0, 1 5) Find an equation for the sphere with the given center and radius. 6)Center ( - 7, 5, 0), radius = 4 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 8) 9) u = 7 j - 9 k , v = 3 i - 5 j - 2 k 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

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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.
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cal3-test-1-review - Cal III Test 1 Review Name MULTIPLE...

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