# Resources tagged with: Vector algebra

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### There are 7 results

Broad Topics > Vectors and Matrices > Vector algebra

### Vector Journeys

##### Age 14 to 18Challenge Level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

##### Age 16 to 18Challenge Level

A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?

### Tetra Perp

##### Age 16 to 18Challenge Level

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

### Quaternions and Rotations

##### Age 16 to 18Challenge Level

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

### Quaternions and Reflections

##### Age 16 to 18Challenge Level

See how 4 dimensional quaternions involve vectors in 3-space and how the quaternion function F(v) = nvn gives a simple algebraic method of working with reflections in planes in 3-space.