A line passes through the point with position vector 2\hat{i}-\hat{j}+4\hat{k} and is in the direction of the vector \hat{i}+\hat{j}-2\hat{k}. Find the equation of the line in cartesian form. 

 

 

 

 
 
 
 
 

Answers (1)

The line passes through a point (2,-1,4) and has direction ratios proportional to (1,1,-2).

Cartesian Equation of the line ;

=\frac{x-x_1}{a}=\frac{y-y_1}{b}=\frac{z-z_1}{c}

=\frac{x-2}{1}=\frac{y+1}{1}=\frac{z-4}{-2}

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