The length of two opposite edges of a tetrahedrom are a and b, the shortest distance between these edges is d, and the angle between them is `theta`. Prove using vectors that the volume of the tetrahedron is `(abd sin theta)/6`

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 .

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 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

find the resultant of two forces each having magnitude F_0 and angle between them is theta .

If veca and vecb are two vectors and angle between them is theta , then

In a regular tetrahedron, if the distance between the mid points of opposite edges is unity, its volume is

If vec(a) and vec(b) are the unit vectors and theta is the angle between them, then vec(a) + vec(b) is a unit vector if

If the angle between the vectors a and b be theta and a*b=costheta then the true statement is

The angle between the vectors vecA and vecB is theta. The value of vecA(vecAxx vec B) is -