You forgot the factor of 1/2 for the area of triangle
I've come across another question I'm having difficulty with.
The fixed points and represent the complex numbers and in an Argand diagram with origin .
By writing and , show that where is the area of triangle .
My working takes me through these steps
Therefore
However from playing about with diagrams the area of the triangle looks like it should be .
Does anyone have any thoughts on this?
No other restrictions were stated in the question. I think that if the question were modified to say then this does lead to .
The book I am using is Pure Mathematics 4 by Hugh Neill and Douglas Quadling and although it is nice and accessible I have found a fair few questions which I have had to assume contain errors. I think I am going to have to add this one to that list.
Thanks for the input though!