Question
Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y = 35z.
Solution
The equation of the line 5x-25 =14-7y =35z can be rewritten as
Since the required line is parallel to the given line, so the direction ratio of the required line is proportional to 7,-5,1
The vector equation of the required line passing through the point (1,2-1) and having direction ratios proportional to 7,-5 1 is
