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Resources tagged with Vector geometry similar to The Matrix:

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Broad Topics > Vectors > Vector geometry

Quaternions and Rotations

Stage: 5 Challenge Level:

Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space.

Thebault's Theorem

Stage: 5 Challenge Level:

Take any parallelogram and draw squares on the sides of the parallelogram. What can you prove about the quadrilateral formed by joining the centres of these squares?

Napoleon's Theorem

Stage: 4 and 5 Challenge Level:

Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?

Tetra Perp

Stage: 5 Challenge Level:

Show that the edges AD and BC of a tetrahedron ABCD are mutually perpendicular when: AB²+CD² = AC²+BD².

Triangle in a Triangle

Stage: 4 Challenge Level:

Can you work out the fraction of the original triangle that is covered by the inner triangle?

Vector Countdown

Stage: 5 Challenge Level:

Play countdown with vectors.