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Resources tagged with Vector geometry similar to Complex Rotations:

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Broad Topics > Vectors > Vector geometry

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?

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.

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?

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.

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.