# Vector 7

Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.

Result

x =  -8
y =  -15
A =  17

#### Solution:

$x = 4-12 = -8$
$y = 1-16 = -15$
$A = \sqrt{ x^2+y^2 } = \sqrt{ (-8)^2+(-15)^2 } = 17$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator. Pythagorean theorem is the base for the right triangle calculator.

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