Simple linear algebra question (test in a few hours)

AI Thread Summary
The discussion centers on the interpretation of the vector <4, 3, 7> in relation to a parametrized line in three dimensions. The original poster's book states that this vector is parallel to the line, while their notes suggest it is a normal vector. The consensus reached is that the vector is indeed parallel to the parametrized line. The poster expresses relief at confirming their understanding and humorously mentions needing caffeine before class. The clarification reinforces the importance of accurate terminology in linear algebra.
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my book says that if you have a parametrized line in 3 dimensions
i.e.:
x - 1 = 4t
y - 5 = 3t
z - 2 = 7t,

the vector <4, 3, 7> (coefficients of t) is a vector parallel to that line.

My notes clearely say that the vector <4, 3, 7> is a normal vector to the parametrized line.

Which one is right?

Thanks.
 
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It should be parallel.

- harsh
 
Ok thanks. That's what I thought...I should drink some caffiene before I go to class and take notes. :smile:
 
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