Answer :

Given: Cartesian equation of line are 3x + 1 = 6y – 2 = 1 - z


To find: fixed point through which the line passes through, its direction ratios and the vector equation.


Formula Used: Equation of a line is


Vector form:


Cartesian form:


where is a point on the line and is a vector parallel to the line and also its direction ratio.


Explanation:


The Cartesian form of the line can be rewritten as:




Therefore, and


So, the line passes through and direction ratios of the line are (2, 1, -6) and vector form is:



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