Finding the intersection between planes is typically 4 marks in A level exam, and can be solved using this method in 1 min 🙂

For example, find the line of intersection of **r**. ( 1 1 0 )=3 and **r**.(-1 -1 2 )= 7

Basically, we are finding the solution of these two equations:

x+y = 3

-x-y+2z = 7

Use TI 84 plus calculator.

so we have

x= 3-y

y= y

z=5

So the line of intersection is **r** = (3 0 5) + a(- 1 1 0), where a is a real number.

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