Science:Math Exam Resources/Courses/MATH152/April 2016/Question B 01 (d)
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Question B 01 (d) 

Consider the lines (d) Find a vector perpendicular to both and . 
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 

A vector is perpendicular to a line if and only if it is orthogonal to the direction vector of the line. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. If a vector is perpendicular to both and , it is orthogonal to the direction vectors of both lines.
Therefore, and Considering as a parameter, we have for any , and hence the answer is 
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