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 there shouldn’t be too much confusion since you can determine the meaning of the notation by the context.

Equations of a line

- Equations of lines 1 – recaps Cartesian lines in 2D but moves on to the vector equation of a line (6.45)
- Equations of lines 2 (8.35)
- Equations of lines 3 (9.30)

Intersections of lines and planes

- Intersection of lines in 2 and 3 space – coincident lines = collinear lines (8.15)
- Intersection of lines in 3 space (9.36)
- Intersection of lines and planes 1 (9.32)
- Intersection of lines and planes 2 – distance from a line in vector form to a plane in Cartesian form (8.53)

Equations of the plane

Intersection of planes

- Intersection of planes (Cartesian form) 1– coincident planes = coplanar planes (7.35)
- Intersection of planes 2 (5.21)

Distance from a point to a plane

Angle between planes

- Perpendicular or parallel planes (1.42)
- Angle between two planes 1 (3.37)
- Angle between two planes 2 (4.41)

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