The vector equation of the plane through the point `2hat(i)-hat(j)-4hat(k)` and parallel to the plane `rcdot(4hat(i)-12hat(j)-3hat(k))-7=0` is

The vector equation of the plane through the point hat(i)+2hat(j)-hat(k) and perpendicular to the line of intersection of the plane rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2 , is

Find the equation of plane passing through the point hat i+ hat j+ hat k and parallel to the plane vecr.(2 hat i- hat j+2 hat k)=5.

The vector equation of the plane through the point (2, 1, -1) and passing through the line of intersection of the plane rcdot(hat(i)+3hat(j)-hat(k))=0 and rcdot(hat(j)+2hat(k))=0, is

Find the equation of the plane through the point 2 hat i+ hat j- hat k and passing through the line of intersection of the plane vec rdot(( hat i+3 hat j- hat k)=0\ a n d\ vec rdot(( hat j+2 hat k)=0.

Find the distance of the point 2 hat i- hat j-4 hat k from the plane vec rdot((3 hat i-4 hat j+12 hat k)-9=0.

Find the planes passing through the intersection of plane rcdot(2hat(i)-3hat(j)+4hat(k))=1 and rcdot(hat(i)-hat(j))+4=0 and perpendicular to planes rcdot(2hat(i)-hat(j)+hat(k))=-8

The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-hat(j)+4hat(k)) and the plane rcdot(hat(i)+5hat(j)+hat(k))=5, is

The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-hat(j)+4hat(k)) and the plane rcdot(hat(i)+5hat(j)+hat(k))=5, is

Find the equation of sphere if it touches the plane rcdot(2hat(i)-2hat(j)-hat(k))=0 and the position vector of its centre is 3hat(i)+6hat(j)-hat(k).

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot