SOLUTION: find the magnitude of the following vector:
v=3i-2j
Algebra.Com
Question 88102: find the magnitude of the following vector:
v=3i-2j
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To calculate the norm of the vector
use the following formula:
where
is the dot product of the given vector with itself
Calculate the dot product of the radicand
Multiply
Add
So
Notice if we draw the vector
we get
Plot of the vector (black line) with the vector components (green)
and if we used Pythagorean's Theorem, we would find that the magnitude is
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