Find the vector equation of a line which is parallel to the vector `2 hat i- hat j+3 hat k` and which passes through the point (5, -2,4). Also reduce it to Cartesian form.

Find the equation in vector form of a line which is parallel to the vector hat(i)-2hat(j)+3hat(k) and which passes through the point (1,-2,5). Reduce it to cartesian form.

Find the vector equation of a line which passes through the point with position vector 2hat i=hat j+4hat k and is in the direction of hat i+hat j-2hat k .Also,reduce it to Cartesian form.

Find the vector equation of a line through the point (5, 2, -4) and which is parallel to the vector 3 hat(i) + 2 hat(j) - 8hatk ?

Find the vector equation of a line through the point (5, 2, -4) and which is parallel to the vector 3 hat(i) + 2 hat(j) - 8hatk ?

Find the vector equation of a line which passes through the point with position vector 2 hat i= hat j+4 hat k and is in the direction of hat i+ hat j-2 hat kdot Also, reduce it to Cartesian form.

Find the equations of the line through the point ( 1 , -2, -3) and parallel to the vector 2 hat i + 3 hat j + 4 hat k in Cartesian form.

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 6 hat i+4 hat j-2 hat k .

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3 hat i+2 hat j-2 hat k .