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# QUIZ 2 - MTH 243 Calculus for Functions of Several...

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MTH 243 Calculus for Functions of Several Variables Worksheet 2/Fall 2013 Name: 2.1 A canoe is moving with velocity vV = 2 i + 4 j m/sec relative to the water. The velocity of current in the water is v c = i + 2 j m/sec. (a) What is the speed of the canoe? (b) What is the speed of the canoe in the direction of the current? 2.2 Write va = 2 i + 3 j 4 k as the sum of two vectors, one parallel, and one perpendicular, to v b = 3 i j + 2 k . 2.3 Find an equation of a plane through the point (1 , 2 , 3) perpendicular to 2 i + 3 j 4 k . 2.4 Find the area of the triangle with vertices P (1 , 2 , 3) , Q ( 2 , , 0 , 1) , and R (3 , 2 , 5) .

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SOLUTIONS for Quiz 2; MTH243, URI, /Fall 2013 2.1 (a) What is the speed of the canoe? The velocity vector of canoe is vu = vV + v c = 3 i + 6 j ; its speed is b b = r 3 2 + 6 2 = 45 6 . 7 . (b) What is the speed of the canoe in the direction of the current? The projection c of the vector on direction v c = i
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QUIZ 2 - MTH 243 Calculus for Functions of Several...

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