# Vectors

For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)

Result

wx =  -54
wy =  48

#### Solution:

$w = 2u-5v = (2\cdot 3+(-5)\cdot 12, 2\cdot (-1)+(-5)\cdot (-10) ) = (-54, 48)$
$w_{ y }=(2) \cdot \ (-1)+(-5) \cdot \ (-10) = 48$

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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.

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