Class 12

Math

3D Geometry

Three Dimensional Geometry

Find the coordinates of the point where the line $2x+1 =3y+2 =4z+3 $meets the plane $x+y+4z=6.$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

The coordinates of the point where the line through the points $A(5,1,6)$ and $B(3,4,1)$ crosses the yz-plane is

A line passes through the points $A(2,−1,4)$ and $B(1,2,−2)$. The equations of the line $AB$ are

Write the equation of the plane parallel to XY-plane and passing through the point $(4,−2,3)$.

Find the length of perpendicular from the origin to the plane $r⋅(3i^−12j^ −4k^)+39=0$. Also write the unit normal vector from the origin to the plane.

If the lines $−3x−1 =2ky−2 =2z−3 $ and $3kx−1 =1y−1 =−5z−6 $ are perpendicular to each other then $k=$?

Find the vector and Cartesian equations of a plane which is at a distance of $7$ units from the origin and whose normal vector from the origin is $(3i^+5j^ −6k^)$.

Show that the planes $2x−2y+4z+5=0$ and $3x−3y+6z−1=0$ are parallel.

Find the angle between the line $r=(2i^−j^ +3k^)+λ(3i^−j^ +2k^)$ and the plane $r⋅(i^+j^ +k^)=3$.