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Find the equation of line through the po...

Find the equation of line through the points P(2, -1, 4) and Q(6, 2, -3) in Cartesian form.

Text Solution

Verified by Experts

We know that equation of line passing through two points `P(x_(1), Y_(1), z_(1)) and Q (x_(2), y_(2), z_(2))` in
Cartesian form is given by
`(x-x_(1))/(x_(2)-x_(1))=(y-y_(1))/(y_(2)-y_(1))=(z-z_(1))/(z_(2)-z_(1))=lambda`
here `(x_(1), y_(1), z_(1))-= (2, -1, 4)`
`(x_(2), y_(2), z_(2))-= (6, 2, -3)`
so equation of line
`(x-2)/ 4=(y+1)/3=(z-4)/(-7)`
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