MATH152 April 2013
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Question B 02 (a)
Let , and . Let be the triangle whose vertices are A,B, and C.
Find the area of .
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!
Compute the vectors corresponding to the line through A and B and the other vector corresponding to the line through A and C.
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Then, the area of a triangle is given by
Computing the cross product gives
Taking the norm and dividing by 2 yields
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