Find the equation of the line (vector and Cartesian both) which is parallel to the vector `2hati-hatj+3hatk` and which passes through the point (5,-2,4)

Find the vector equation of the line which is parallel to the vector 3hati-2hatj+6hatk and which passes through the point (1,-2,3) .

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 of the line parallel to 2hati-hatj+3hatk and passing through the point (5,-2,4)

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

Find the vector equation of a line through the point (-3, 2, -4) and is parallel to the vector 3hati + 2hatj+ 4hatk .

The equation of a line passing through the point (4,-2,5) and parallel to the vector 3hati -hatj + 2hatk is

Find the vector equation of a plane which is parallel to the plane vecr.(2hati-hatj+2hatk)=5 and passes through the point whose position vector is (hati+hatj+hatk) .

Find the equation of a line passing through the point (2,-3,5) and parallel to vector (3hati+2hatj-hatk) .

Find vector equations of the plane passing through A(-2,7,5) and parallel to vectors 4 hati -hatj +3hatk and hati +hatj -hatk .

Find the vector equation of a line parallel to the vector 2hati-hatj+2hatk and passing through a point A with position vector 3hati+hatj-hatk .