Home > Preview
The flashcards below were created by user
edulalo999
on FreezingBlue Flashcards.

Question 1 Consider the three points P_{1}=(1,1,1), P_{2}=(2,0,1) and P_{3}=(1,2,3)
A. Find the vectors P_{1}P_{2} and P_{1}P_{3}?
 P_{1}P_{2} = P_{2}P_{1} = (2,0,1)  (1,1,1) = (1,1,0)
 P_{1}P_{3} = P_{3}P_{1} = (1,2,3)  (1,1,1) = (0,1,2)

Question 1 Consider the three points P_{1}=(1,1,1), P_{2}=(2,0,1) and P_{3}=(1,2,3)
B. Find the cross product P_{1}P_{2} X P_{1}P_{3} (computation details required)
 ( i j k )
 (1 1 0) = (2 + 0) i + (2+0) j + (0+1) k = 2i + 2j + k
 ( 0 1 2 )

Question 1 Consider the three points P_{1}=(1,1,1), P_{2}=(2,0,1) and P_{3}=(1,2,3)
C. Find the area of the triangle P_{1}P_{2}P_{3} formed by these three points by the formula 1/2 P_{1}P_{2} X P_{1}P_{3} =
 P_{1}P_{2} X P_{1}P_{3}= 2i + 2j + k
 use the formula
 1/2  2i + 2j + k 
 = square root (

