Science:Math Exam Resources/Courses/MATH200/December 2013/Question 01 (a) ii
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Question 01 (a) ii 

The line has vector parametric equation ii. Let be the angle between the line and the plane given by the equation . Find . 
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 

Recall the definition of the dot product:
What does it tell you about two intersecting vectors? 
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. The line has a directional vector of while the plane has a normal vector of By the definition of the dot product, (where is the angle between and )
, the angle we're interested in is simply
