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

Algebra ->  Algebra  -> Vectors -> 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       Log On

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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(28536) About Me  (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





So


Geometrically, this means that the length of is 13 units


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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