Given a tetrahedrone `D-ABC` with `AB=12,CD=6.` If the shortest distance between the skew lines `AB and CD` is 8 and angle between them is `pi/6`, then find the volume of tetrahedron.

The lengths of two opposite edges of a tetrahedron are a and b ; the shortest distane between these edges is d , and the angel between them is theta Prove using vectors that the volume of the tetrahedron is (a b dsi ntheta)/6 .

The lengths of two opposite edges of a tetrahedron of aa n db ; the shortest distane between these edgesis d , and the angel between them if thetadot Prove using vector4s that the volume of the tetrahedron is (a b di s ntheta)/6 .

Find the distance between the origin and the point : (-8, 6)

The length of two opposite edges of a tetrahedron are 12 and 15 units and the shortest distance between them is 10 units. If the volume of the tetrahedron is 200 cubic units, then the angle between the 2 edges is

In the given figure if AB|| CD find angle APM and PQD

IF a=(x^2-2x+4)/(x^2+2x+4) and equation of lines AB and CD be 3y=x and y=3x respectively, then for all real x, point P(a,a^2) (A) lies in the acute angle between lines AB and CD (B) lies in the obtuse angle between lines AB and CD (C) cannot be in the acute angle between lines AB and CD (D) cannot lie in the obtuse angle between lines AB and CD

In the given diagram 'O is the centre of the circle and AB is parallel to CD. AB = 24 cm and distance between he chord AB and CD is 17 cm. It the radius of the circle is 13 cm, find the length of the chord CD.

In the given figure, two lines AB and CD intersect at a point O. If angleAOC + angleBOD= 70^(@) , find the measure of angleAOD

Let ABCD be a trapezium ,in which AB is parallel to CD, AB =11 ,BC=4,CD=6 and DA=3. the distance between AB and CD is

In the figure if EC is the bisector of angleBCD and AB||CD||EF. Find angle ABC