Help With Vectors.

O

oriont

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May 21, 2011
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The problem reads " Find the length of the vector"

(All variables have an arrow above them to denote a vector just not sure how to type that.)

v=i-j+2k

What I have done so far: (These are the facts I am fairly certain of, correct if incorrect please)

I know that i is the value of the vector along the x axis right by 1 unit
I know that -j is the opposite direction of j therefore -j goes down the y axis by 1 unit
I know that +2k is the vector going up the z axis by 2 units.

What I don't know

How the heck to draw this vector in three dimensions
Why the book states that the answer is the square-root of 6
 
In two dimensions, it would require the Pythagorean Theorem. Feel free to extend to 2D.
 
So assuming I would come up with something like

square-root (1^2+1^2+2^2)
 
Thanks, struggling with it but getting it down slowly.
Always had a "math block" so trying to get over it with my college classes.

Appreciate the help.
 
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