question_answer 40)

Find the vector equation of the straight line passing through (1, 2, 3) and perpendicular to the plane .  

Answer:

It is given that that required line is perpendicular to the plane             So, the required line is parallel to normal vector of plane.       Here normal vector of given plane is             Also, let position vector of the point (1, 2, 3) is        required line passes through the point with position vector  and is parallel to vector       Hence, the vector equation of the required line is                             i.e.,