Find the vector and the cartesian equations of a line that passes through the point A(1, 2, -1) and parallel to the line 5x - 25 = 14 - 7y = 35z.
Rohit Sharma March 11, 2023
Question: Find the vector and the cartesian equations of a line that passes through the point A(1, 2, -1) and parallel to the line 5x - 25 = 14 - 7y = 35z.
The correct answer is - The vector equation of the line is <r> = <1, 2, -1> + t<7, 36/7, 1>, and the cartesian equations of the line are x = 1 + 7t, y = 2 + (36/7)t, z = -1 + t.