24 find the area of the triangle with vertices p 1 2 3

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Unformatted text preview: 3j − 4k. 2.4 Find the area of the triangle with vertices P (1, 2, −3), Q(−2, , 0, 1), and R(3, −2, 5). SOLUTIONS for Quiz 2; MTH243, URI, /Fall 2013 2.1 (a) What is the speed of the canoe? The velocity vector of canoe is u = v + c = 3i + 6j; its speed is √ u = 32 + 62 = 45 ≈ 6.7. (b) What is the speed of the canoe in the direction of the current? The projection vc of the vector v on direction c = i + 2j is vc = 10 v·c c= c = 2c 2 c 5 2.2 The projection vector on b is v= a·b b 2 b= 15 5 10 −5 b=− i+ j− k 14 14 14 14 Then the perpendicular vector will be...
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