Find the Cartesian equations of the line passing through the point A(3,-2,1) and parallel to the line joining the points B(-2,4,2) and C(2,3,3). Please note that the answer to this question given in the book is:(x-3)/4=(y+2)/1=(z-1)/1 But My Answer to this question comes to: (x-3)/4=(y+2)/(-1)=(z-1)/1 Please solve and determine which one is correct.

Asked by Manoj | 9th May, 2013, 08:39: PM

Expert Answer:

Your answer is correct, the answer is the book is wrong. 
 
Since, the line in question is parallel to the line joining BC points. Hence, their direction ratios would be same. 
 
Direction ratios of the line joining BC: 
l = 2-(-2) = 4
m = 3-4 = -1
n = 3-2 - 1
 
The line passes through A
Hence, equation fo line 
(x-3)/4=(y+2)/(-1)=(z-1)/1

Answered by  | 10th May, 2013, 05:08: AM

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