Question

given the following vectors, calculate -6u + 9v.
u = (0,5),v = (-1,-3)

Explanation:

Step1: Multiply vectors by scalars

$$ -6\mathbf{u}=-6\langle0,5 angle=\langle-6\times0,-6\times5 angle=\langle0,-30 angle $$

$$ 9\mathbf{v}=9\langle-1,-3 angle=\langle9\times(-1),9\times(-3) angle=\langle-9,-27 angle $$

Step2: Add the two resulting vectors

$$ -6\mathbf{u}+9\mathbf{v}=\langle0 + (-9),-30+(-27) angle=\langle-9,-57 angle $$

Answer:

$\langle-9,-57
angle$