Science:Math Exam Resources/Courses/MATH152/April 2013/Question B 01 (a)
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Question B 01 (a) 

Let be the line . Find a unit vector in the direction of L. 
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 

First find a point on the line. Then normalize. 
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.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Notice that is a point on the line. So the vector
is a matrix in the direction of L. To make it a unit vector, we divide the coordinates by the length of the vector. The length is given by
Thus, the unit vector is given by
