Science:Math Exam Resources/Courses/MATH221/April 2009/Question 12 (d)
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Question 12 (d) 

If v and w are vectors in , then the zero vectors in must be a linear combination of v and w. 
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 

Science:Math Exam Resources/Courses/MATH221/April 2009/Question 12 (d)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The answer is true. Let denote the zero vector in . Then we can write ; that is, is a linear combination of and . 