300 IB Maths Exploration ideas, video tutorials and Exploration Guides
An introduction to finding the vector equation of a line:
More on vector equation of lines (more detailed):
Finding the equation of a plane from 3 points:
Finding the intersection of a line and a plane:
Checking if lines coincide, if they are parallel etc:
Finding the parametric equation of a line through a point:
Finding the intersection of 2 planes:
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IB Maths Resources from Intermathematics 
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