Maths Exercises
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Maths Exercices

Angle between two lines in space
Angle between two planes in space
Angle between a line and a plane

The angle t between two lines is the angle between two direction vectors of the lines.
Take line a with direction vector u and line b with direction vector v.

That is:
u.v= ||u||.||v||.cos(t)
and then:

The angle between two planes is given by the angle between the normal vectors,
n1 and n2, that is:

Let's name t to the angle which line makes with plane, v the direction vector of line and n the normal vector of the plane.

Then:

Choose the angle between the line and the plane

24.63 51.63 51.13 52.63

The angle is given in degrees