- #1
Krushnaraj Pandya
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Homework Statement
Find the coordinates of those points on the lines (x+1)/2 = (y+2)/2 = (z-3)/6 which is at a distance of 3 units from the point (1,-2,3)
2. Relevant methods
1) assume a point, use distance formula- (very calculative)
2) write vector equation of line, find foot of perpendicular (k) from point (t) to line, assume the point (m)- use cross product to write sinθ in terms of these points- (again, very calculative)
The Attempt at a Solution
So I'm looking for a solution that one might actually be able to employ to solve this in a time-bound competitive exam with less hassle and tediousness. Would be glad to know new ideas; thank you.