[" Q9) At a distance r from a point located at origin "],[" in space,the electric potential varies as "V=10r" ."],[" Find the electric field at "vec r=3hat imath+4hat jmath-5hat k" ."]

At a distance r from a point located at origin in space, the electric potential varies as V= 10r . Find the electric field at vecr = 3hati + 4 hatj - 5hatk .

At a distance r from a point located at origin in space, the electric potential varies as V= 10r . Find the electric field at vecr = 3hati + 4 hatj - 5hatk .

A point on the line vec r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

The distance from the origin to he plane vec(r)(2hat(i)-hat(j)+5hat(k))=7 is ……………

Find the distance of the point 2hat i+hat j-hat k from the plane vec r*(hat i-2hat j+4hat k)=9

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

A plane is at a distance of 5 units from the origin and perpendicular to the vector 2hat(i) + hat(j) + 2hat(k) . The equation of the plane is a) vec(r ).(2hat(i) + hat(j) -2hat(k))=15 b) vec(r ).(2hat(i)+ hat(j)-hat(k))=15 c) vec(r ).(2hat(i) + hat(j)+ 2hat(k))=15 d) vec(r ).(hat(i) + hat(j) + 2hat(k))=15

Find the distance of the point (-1,-5,-10) from the point of intersection of the line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane quad vec r=(hat i-hat j+hat k)=5

Find the direction cosines of perpendicular from the origin to the plane vec r*(2hat i-3hat j-6hat k)+5=0

Find the distance of the point (-1,-5,-10) from the point of intersection of the line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane vec r*(hat i-hat j+hat k)=5