The foot of the perpendicular drawn from a point with position vector `hati+4hatk` on the joining the points having position vectors as `-11hatj+3hatk` an `2hati-3hatj+hatk` has the position vector

The vector equation of the line passing through a point with position vector 2hati-hatj+hatk and parallel to the line joining the points with position vectors -hati+4hatj+hatk and hati+2hatj+2hatk is r=(2hati-hatj+hatk)+lambda(xhati-2hatj+hatk) where x is equal to

Find the vector equation of a line passing through the point with position vector hati-2hatj-3hatk and parallel to the line joining the points with position vectors hati-hatj+4hatk and 2hati+hatj+2hatk . Also find the cartesian form of the equation.

Find the vector equation of a line passing thorugh a point with position vector 2hati-2hatj+hatk and parallel to the line joining the point with the position vectors -hati+3hatj+hatk and 2hati+hatj+3hatk . Also find the Cartesian equation of this line.

Find the position vector of the mid-point of the vector joining the points A(3hati + 2hatj + 6hatk) and B(hati + 4hatj - 2hatk)

Find the image of a point having position vector, 3hati-2hatj+hatk in the plane vecr.(3hati-hatj+4hatk)=2

The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

Find the image of the point having position vector hati + 3hatj + 4hatk in the planer. vecr.(2hati – hatj+ hatk) + 3 = 0

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of