## Related questions with answers

Question

Find 3u - 2v.

u = (-1, 2, 1), v = (0, 1, 1)

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3Let $\textbf{u}=(-1, 2, 1)$ and $\textbf{v}=(0, 1, 1)$.

To obtain the scalar product of a vector, multiply each coordinate of the vector with the scalar.

$\begin{aligned} 3\textbf{u}&=3(-1, 2, 1) \\ &=(3(-1), 3(2), 3(1)) \\ &=(-3, 6, 3) \\ \\ 2\textbf{v}&=2(0, 1, 1) \\ &=(2(0), 2(1), 2(1)) \\ &=(0, 2, 2) \end{aligned}$

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