IB Maths SL Vectors, Lines

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

IB Maths SL Vectors, Lines

Postby Jack » Wed Mar 13, 2013 4:30 pm

IB Mathematics SL – Vectors, Parallel, coincident or skew lines


How can we determine if the following lines intersect in one point, are parallel and distinct, are coincident, or are skew?




and





Thanks
Jack
 
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Re: IB Maths SL Vectors, Lines

Postby miranda » Wed Mar 13, 2013 4:45 pm

IB Mathematics SL – Vectors, Parallel, coincident or skew lines


We first rewrite the Cartesian equation for



We observe that the lines have parallel direction vectors since



Thus the lines are either parallel or coincident.

For example the point
lies on for

. Then we check whether it is also on


Set




So there is not common solution for

Therefore the lines are parallel.


Hope these help! :) :)
miranda
 
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