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10 Nov 2019
The cross product of their direction numbers is: |I 3 -1 j 2 4 k -5 -3| = (a 4i + 14j + 14k). which is the same direction as (i+j+k). The two parallel planes containing the given lines are: p1 : (x -1) + (y-3) +(z+2) = 0 or x+y+z-2=0 and p2 : (x-4) + (y=5_+)z_3)= o or x+y+z-12=0 The distance between the parallel planes: (Here I used Pt and a point on L1.) Exercise Find the minimum separation of the lines L1= (2+t)I + (1-2t)k and L2 = (1+3t)I + (-4+t+(5-t)k.
The cross product of their direction numbers is: |I 3 -1 j 2 4 k -5 -3| = (a 4i + 14j + 14k). which is the same direction as (i+j+k). The two parallel planes containing the given lines are: p1 : (x -1) + (y-3) +(z+2) = 0 or x+y+z-2=0 and p2 : (x-4) + (y=5_+)z_3)= o or x+y+z-12=0 The distance between the parallel planes: (Here I used Pt and a point on L1.) Exercise Find the minimum separation of the lines L1= (2+t)I + (1-2t)k and L2 = (1+3t)I + (-4+t+(5-t)k.