Find the vector equationof the line passing through the point (3,1,2) and perpendicular to the plane `vecr.(2hati-hatj+hatk)=4`. Find also the point of intersection of this line and the plane.

Find the vector equation of a line passing through the point A(1,-1,2) and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Find the equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

Find the equation of a line passing through the point (2hati-3hatj-5hatk) and perpendicular to the plane vecr.(6hati-3hatj+5hatk) +2=0 . Also find the point of intersection of this line and the plane.

Find the vector equation of a lie passing through the origin perpendicular to the plane vecr.(hati+2hatj+3hatk)=3 .

The equation of the plane passing through the point (2, -1, 3) and perpendicular to the vector 3hati + 2hatj - hatk is

Find the equation of the plane passes through the point (2,1,-2) and parallel to the plane vecr.(3hati+hatj-hatk) = 0 .

Find the vector equation of the line through the origin, which is perpendicular to the plane vec(r) . (hati - 2 hatj + hatk) = 3 .

Find the equation of the plane through the point (3,4,-1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+7=0

Find the vector equation of the plane through the point (3hati+4hatj-hatk) and parallel to the plane vecr(2hati-3hatj+5hatk)+5=0 .

Find the vector equation of the line passing through the point with position vector (hati-2hatj+5hatk) and perpendicular to the plane vecr.(2hati-3hatj-hatk)=0 .