Test# 1 A

Notes

Test# 1 A few review problems. Be sure to check the notes for a complete list of topics that were covered. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Express the vector as a product of its length and direction. 1) -4i + 4j + 4k A) 4 3 - 3 3 i + 3 3 j + 3 3 k B) 4 3 - 1 48 i + 1 48 j + 1 48 k C) 4( -i + j + k) D) 3 12 - 3 3 i + 3 3 j + 3 3 k 1) Solve the problem. 2) Find a vector of magnitude 11 in the direction of v = 5i - 12k. A) 11(i - k) B) 11 13 (5i - 12k) C) 1 13 (5i - 12k) D) 11(5i - 12k) 2) 3) A force of magnitude 17 pounds pulling on a suitcase makes an angle of 30° with the ground. Express the force in terms of its i and j components. A) 0.8660i + + 0.5000j B) 8.500i + 14.72j C) 14.72i + 8.500 j D) 2.622i - 16.80j 3) Find the vector projv u. 4) v = i + j + k, u = 3i + 4j + 12k A) 19 3 i + 19 3 j + 19 3 k B) 19 13 i + 19 13 j + 19 13 k C) 20 3 i + 20 3 j + 20 3 k D) 19 169 i + 19 169 j + 19 169 k 4) Find the length and direction (when defined) of u × v. 5) u = 4i + 2j + 8k, v = -i - 2j - 2k A) 6 5; 2 5 5 i + 5 5 k B) 180; 1 15 i + 1 30 k C) 180; 2 5 15 i + 15 15 j + 5 15 k D) 6 5; 2 5 5 i - 5 5 k 5) Write the equat...