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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)
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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 )
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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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