Science:Math Exam Resources/Courses/MATH200/December 2013/Question 01 (a) i
Work in progress: this question page is incomplete, there might be mistakes in the material you are seeing here.
• Q1 (a) i • Q1 (a) ii • Q1 (b) i • Q1 (b) ii • Q1 (b) iii • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q2 (a) • Q2 (b) • Q2 (c) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q6 • Q7 • Q8 (a) • Q8 (b) • Q9 (a) • Q9 (b) •
Question 01 (a) i 

The line has vector parametric equation i. Write the symmetric equations for . 
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 

Make this equation into a more general vector parametric equation that you may be more familiar with: 
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 1 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. We want to find the symmetric equations for L where: We can find the constants in the above equation by arranging the vector parametric equation given in the question into the form of: Expanding the equation given, we get: Rearranging: Which is simply: where Plugging them into the symmetric equation, we get: Because we cannot have zero in the denominator, our final answer is: 
Solution 2 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. To be deleted.. 