The projection of the line joining the points $ (3,4,5) $ and $ (4,6,3) $ on the line joining the points $ (-1,24) $ and $ (1,0,5) $ is

Question

The projection of the line joining the points $ (3,4,5) $ and $ (4,6,3) $ on the line joining the points $ (-1,24) $ and $ (1,0,5) $ is, $ 4 / 3 $, $ 2 / 3 $, $ -4 / 3 $, $ 1 / 2 $

MARKS App · Accepted Answer

Let A = 3, 4 , 5 , B = 4 , 6 , 3 , C = - 1 , 2 , 4 , D ≡ ( 1 , 0 , 5 ) For A B , x 2 - x 1 = 4 - 3 = 1 , y 2 - y 1 = 6 - 4 = 2 z 2 - z 1 = 3 - 5 = - 2 Let l , m , n for C D are 2 3 , - 2 3 , 1 3 . ∴ Projection of A B on C D = ∑ l ( x 2 - x 1 ) = 2 1 3 + - 2 3 2 + 1 3 ( - 2 ) = - 4 3

Search any question & find its solution

Looking for more such questions to practice?