Archive for category Vectors

A8 – Vectors 5

Geometry Parallelogram proof using vectors (8.05) Medians of a triangle (4.53) Science and Engineering Torque 1 – here they use foot pounds instead of the standard Newton meters but the calculations aren’t affected (4.12) Torque 2 (7.50) Force up an inclined plane (2.10) Work (8.47) Tension 1 (10.20) Tension 2 (10.19) Advertisements

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A7 – Vectors 4

Lines and planes – here you need to realise <x,y,z>, xi+yj+zk, [x,y,z] and (x,y,z)  are all ways of writing a vector (you can also write them vertically as seen before). Most of the following videos use the square bracket notation, unfortunately this notation can be used to mean the scalar triple product – as is done in MATH1110 – but […]

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A6 – Vectors 3

A matrix is simply an array of numbers (or you can view it as rows/columns of vectors), if a matrix has the same number of rows and columns then it has a number associated with it called the determinant. Introduction to determinants and the different methods of calculating them (7.35) The cofactor approach to 3×3 matrices (6.56) The rule of […]

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A5 – Vectors 2

The scalar/dot product First look (10.33) Another definition and finding angles – orthogonal = perpendicular = at right angles (7.37) Another look at orthogonal vectors – he should have stated that these are non-zero vectors (4.21) Dot product of an n-tuple (3.41) More properties of dot products (9.26) Projection vectors Khan’s introduction – this makes use of vectors written vertically – what […]

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A4 – Vectors 1

Introduction Vectors vs scalars (8.39) Intro to vectors (4.46) When are two vectors equal? (2.03) When are two vectors parallel? (6.24) Putting a vector in component form 1 (2.38) Putting a vector in component form 2 (6.34) Bearings (3.10) Magnitude and direction of a vector (3.58) Vector algebra Vector addition and scalar multiplication 1 (3.24) Vector addition and scalar multiplication 2 (3.52) The basics of […]

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