SOLUTION: Find // v // if v = -5 i + 12 j
Find the unit vector having the same direction as v, if v = - 5 i + 12 j
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Question 166634: Find // v // if v = -5 i + 12 j
Find the unit vector having the same direction as v, if v = - 5 i + 12 j
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since 
, this means that 
So for any vector 
the magnitude or norm of that vector is:
So in this case
^2+(12)^2}=\sqrt{25+144}=\sqrt{169}=13)
So 
Geometrically, this means that the length of 
is 13 units
--------------------------------
To find the unit vector 
that has the same direction as , simply divide EACH component of the vector by the length of the vector .
So...
So the unit vector that has the same direction as is
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