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

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