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The second question in Sadlers 3C Specialist textbook requires the addition and multiplication of 3 dimensional vectors.

When showing the addition of vectors, we place them end to end. The resulting vector (from the start of the first vector to the end of the last can then be determined.

Unit Vectors

Unit vector is a vector of magnitude 1

Vectors in 3 Dimensions

Mathematical background

In mathematics a vector has a magnitude (length) and direction expressed as an ordered list of tuples (x, y, z). It is sketched as a directed line segment (arrow). Unless otherwise given, a vector does not impart information about location (when studying in secondary education, we use the origin (0,0,0) of a set of axis as the initial point of a vector.

Linnmon Table

This is my second attempt at the Furniture Visualisation Design Challenges: The LINNMON Table. It took me less than an hour to create in the VRMath2 Editor. I think that I am getting better at mental visualisation and computation of scale, location, direnction of movement in 3D space.

Dodecahedron

Dodecahedron is one of the five Platonic Solids. It consists of

• 12 faces (congruent pentagons)
• 30 edges
• 20 vertices (the meeting of 3 faces)