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Find the unit vector in the direction of v= (3,4)

 May 20, 2020
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If you graph the vector (3,4) on a plane, its tail is (0,0) and its head is (3,4).

To find a unit vector in same direction, its tail will also be (0,0) and its head will be

somewhere on the (3,4) vector.

To find out where, we first need to find the length (or magnitude) of vector (3,4).

We do this by using the Pythagorean Theorem:  length  =  sqrt( 32 + 42 )  =  5.

The length (magnitude) of a unit vector is 1.

To find where the unit vector ends, divide both the x-value and the y-value of the vector (3,4)

by its magnitude:  (3/5, 4/5) is the unit vector.

 May 20, 2020

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