Calculus 3 exam 1

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Author:
edulalo999
ID:
122350
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Calculus 3 exam 1
Updated:
2011-12-09 23:47:57
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calc
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exam 1
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  1. Question 1 Consider the three points P1=(1,1,1), P2=(2,0,1) and P3=(1,2,3)
    A. Find the vectors P1P2 and P1P3?
    • P1P2 = P2-P1 = (2,0,1) - (1,1,1) = (1,-1,0)
    • P1P3 = P3-P1 = (1,2,3) - (1,1,1) = (0,1,2)
  2. Question 1 Consider the three points P1=(1,1,1), P2=(2,0,1) and P3=(1,2,3)
    B. Find the cross product P1P2 X P1P3 (computation details required)
    • ( i j k )
    • (1 -1 0) = (-2 + 0) i + (2+0) j + (0+1) k = -2i + 2j + k
    • ( 0 1 2 )
  3. Question 1 Consider the three points P1=(1,1,1), P2=(2,0,1) and P3=(1,2,3)
    C. Find the area of the triangle P1P2P3 formed by these three points by the formula 1/2 ||P1P2 X P1P3|| =
    • P1P2 X P1P3= -2i + 2j + k
    • use the formula
    • 1/2 || -2i + 2j + k ||
    • = square root (

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