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.
[tex]\begin{gathered} u.w=(8i+10j)\cdot(3i-4j) \\ u.w=24-40 \\ u.w=-16 \end{gathered}[/tex]Similarly find v.w,
[tex]\begin{gathered} v.w=(6i-j).(3i-4j) \\ v.w=18+4 \\ v.w=22 \end{gathered}[/tex]Then the final answer is
[tex]u•w+v•w=-16+22=6[/tex]Hence the answer is 6.
