A line passes through the point with position vector `2hati-hatj+3hatk` and is in the direction of `hati+hatj-2hatk`. Find the equation of the line in vector and Cartesian forms.

A line passes through the point with position vector 2hati-hatj+4hatk and is in the direction of hati+hatj-2hatk . Find the equations for the line in vector and in cartesian form.

Find the vector equation of a line which passes throught the point with position vector hati - 2hat j+4hatk and is in the direction of hati + 2hatj - hatk . Also reduce it to cartesian form.

The vector equation of a line passing through the point with position vector 2hati - hatj - 4hatk and is in the direction of hati - 2hatj + hatk is

Equation of a line passing through the point with position vector 2hati-3hatj+4hatk and in the direction of the vector 3hati+4hatj-5hatk is

The cartesian form of equation of a line passing through the point with position vector 4hati -hatj +2hatk and is in the direction of -2hati +hatj +hatk ,is

Find the vector equation of a line which passes through the point with position vector 4hati - hatj + 2 hatk and is in the direction of - 2 hati + hatj + hatk .

A line passing through the point A with position vector veca=4hati+2hatj+2hatk is parllel to the vector vecb=2hati+3hatj+6hatk .Find the length of the perpendicular drawn on this line from a point P with position vector vecr_1=hati+2hatj+3hatk .

Find the vector equation of a plane passing through a point having position vector (2hati-hatj+hatk) and perpendicular to the vector (4hati+2hatj-3hatk) . Also, reduce it to Cartesian form.

Find the equation of the line in Cartesiasn form that passes through the point with positoin vector 2hati-hatj+4hatk and is in the direction hati+2hatj-hatk.