Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 11
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Question A 11 |
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Find the parametric form of the plane in with equation form . |
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 |
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Recall that a plane in is parametrized by two variables, say and . Try taking two of the components to be parameters, and write the third in terms of these two. |
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.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Let and . We then have , so . Hence so an equation of the plane in parametric form is Note that different parametrizations are possible! |