Science:Math Exam Resources/Courses/MATH152/April 2013/Question A 03
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Question A 03 

Let Further, let where k is a parameter. Find the value of k for which a and d are orthogonal. 
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 

Two vectors are orthogonal if their dot product is zero. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. and are orthogonal whenever their dot product is equal to zero. That is,
Therefore, is the value for which and are orthogonal. 