Question

For vectors u = 8i + 10j, v = 6i – j, and w = 3i – 4j, determine u • w + v • w.

Answer 1

Given

The vectors are given

u = 8i + 10j, v = 6i – j, and w = 3i – 4j.

Explanation

To find the solution of the expression u • w + v • w.

$\begin{gathered} u.w=(8i+10j)\cdot(3i-4j) \\ u.w=24-40 \\ u.w=-16 \end{gathered}$

Similarly find v.w,

$\begin{gathered} v.w=(6i-j).(3i-4j) \\ v.w=18+4 \\ v.w=22 \end{gathered}$

Then the final answer is

$u•w+v•w=-16+22=6$

Answer

Hence the answer is 6.