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find the vector and cartesian equation of a line through the point (1,-1,1) and perependicular to the lines joining the points (4,3,2),(1,-1,0) and (1,2,-1),(2,1,1)

find the vector and cartesian equation of a line through the point (1,-1,1) and perependicular to the lines joining the points  (4,3,2),(1,-1,0) and  (1,2,-1),(2,1,1)

Grade:12

1 Answers

Arun
25763 Points
2 years ago
 
Dear Amit
 
perpendicular vector to (3,4,2) and (1,-1,2)
 
 = (3,4,2) x (1,-1,2) = (10 i -4 j-7 k)
 
now equation of line = 
 
r = (i – j + k )+ t( 10 i – 4j – 7k)

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