Question #53924

Let u = <5, 6>, v = <-2, -6>. Find -2u + 5v.

Expert's answer

Answer on Question#53924 – Math – Vector Calculus

1. Let u=(5,6)\mathbf{u} = (5,6), v=(2,6)\mathbf{v} = (-2, -6). Find 2u+5v-2\mathbf{u} + 5\mathbf{v}.

Solution.


2u+5v=2(5,6)+5(2,6)=(10,12)+(10,30)=(20,42).-2\mathbf{u} + 5\mathbf{v} = -2(5,6) + 5(-2, -6) = (-10, -12) + (-10, -30) = (-20, -42).


Answer:

hence, 2u+5v=(20,42)-2\mathbf{u} + 5\mathbf{v} = (-20, -42).

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