Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 09
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Question A 09 |
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For questions A8 and A9 below, let and for some constant . Briefly justify your answers. A9) For which nonzero value or values of (if any) is perpendicular to ? |
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 how perpendicular vectors and the dot product are related to one another. Using this relationship, rephrase the question as a single equation. Then solve that equation. |
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. The two vectors and are perpendicular exactly when their dot product is zero. That is, when
This condition simplifies to
Because the only solution to the above equation is , there are no non-zero solutions to this problem. Answer: . |