Science:Math Exam Resources/Courses/MATH105/April 2013/Question 01 (a)
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Question 01 (a) 

ShortAnswer Questions. Put your answer in the box provided but show you work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Find an equation of the plane which is parallel to the plane and passes through the point . 
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 

Equations of parallel planes share the same normal vector , with 
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. Since we have the normal form of the plane, we find the vector, normal to the plane, in the equation.
All equations of planes, parallel to the plane , have the same normal vector . This means the equation looks like
With the point lying in the plane, we find by
This gives us the equation of the plane
