Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 06
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Question A 06 

Find a normal vector to the plane containing the points , , and . 
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! 
Hint 

If and are vectors spanning a plane, then is a normal vector to that plane. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. In order to find a normal vector to the plane containing these three points, we need to find two vectors spanning this plane. This can be achieved by subtracting the points: 