Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 10
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Question A 10 |
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Give the intersection of the planes and in parametric 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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Use "normal vectors" to get vector in the direction of the line, then find a point lied on the line |
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 denote the line of intersection. the two planes have normal vectors and , respectively. A vector in the direction of the line is therefore
We only need to find a point on . We consider to be the point of on the plane . Thus substitute in the system in the question to get lies on the line. Thus
answer: |