Answer:
2·<u>v</u> - (<u>u</u> + <u>w</u>) = (5, 0, -10)
Step-by-step explanation:
The given values of the vectors are;
<u>u</u> = (2, -1, 3), <u>v</u> = (4, 0, -2), and <u>w</u> = (1, 1, 3)
The required vector is 2·<u>v</u> - (<u>u</u> + <u>w</u>)
2 × <u>v</u> = 2 × (4, 0, -2) = (8, 0, -4)
(<u>u</u> + <u>w</u>) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)
Therefore;
2·<u>v</u> - (<u>u</u> + <u>w</u>) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)
2·<u>v</u> - (<u>u</u> + <u>w</u>) = (5, 0, -10)