Question

Vectors u = −8i + 6j and v = −5i − 9j. What is u − v?

Answer 1

Explanation: Here we just need to operate common terms as follows

$\begin{gathered} \text{once u = -8i+6j and v = -5i-9j} \\ \text{we have that } \\ u-v=(-8i+6j)-(-5i-9j)=-8i+6j+5i+9j \\ \text{we can see that -8i and 5i are common } \\ \text{terms as well as 6j and 9j are common terms too.} \\ \text{now we can operate the common terms -8i+5i=-3i and 6j+9j=15j} \\ u-v=-8i+6j+5i+9j=-8i+5i+6j+9j=-3i+15j \end{gathered}$

Final answer: So the final answer is

$-3i+15j$

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