Quiz Find the vector and the cartesian equations of a line that passes...

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.

Class 12th Mathematics, Question Paper 2023: 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.

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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.