Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 15
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Question A 15 

Consider the line passing through the point and which is perpendicular to the plane containing the points , , and . Give a parametric equation for . 
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 

Find the normal vector of the 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. Recall that a line is perpendicular to a plane means that a direction vector of the line is proportional to a normal vector of the plane. First, we find the normal vector of the plane. Since , the normal vector of the plane of A, B, C points is Denoting a point on the line by , the direction vector of the line is . Thus the parametric equation for is , or
