Answer question 6 find the point of intersection of

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Answer: . . . . . . . . . . . . . . . . . . . . . Question 6 Find the point of intersection of the plane x + y - z = - 1 and the line given by the parametric equations 1 := x = 1 + t y = 2 - t z = 3 + t Answer: . . . . . . . . . . . . . . . . . . . . . . . .

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CALCULUS II, TEST I 3 PART II Each problem is worth 14 points. Part II consists of 4 problems. You must show your work on this part of the test to get full credit. Displaying only the final answer (even if correct) without the relevant steps will not get full credit - no credit for unsubstantiated answers ! Problem 1 This problem has two separate questions (a) and (b). Answer each question. (a) A constant force with vector representation F = 6 i + 2 j + 4 k moves an object along a straight line from the point P (1 , 1 , 2) to the point Q (3 , 1 , 3). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons. (b) A women runs due north on the deck of a ship at 3 mph while the ship is moving east at a speed of 4 mph. Find the speed of the woman relative to the surface of the water. (We assume that the speed of the water is negligible compared with the speed at which the ship is moving.)
CALCULUS II, TEST I 4 Problem 2 This problem has two separate questions (a) and (b). Answer each question. (a) Find the area of the triangle with vertices P (1 , 0 , 0), Q (0 , - 2 , 0) and R (0 , 0 , 3).

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