3u - 2v + w gives the resultant vector as; <49, 19>
8u - 6v gives the resultant vector as; <184, 60>
7v - 4w gives the resultant vector as; <61, 104>
u - 5w gives the resultant vector as; <-9, 37>
<h3>How to find the resultant of vectors?</h3>
We are given the vectors;
u = 11i + 12j
v = -16i + 6j
w = 4i - 5j
1) 3u - 2v + w gives the resultant vector as;
3(11i + 12j) - 2(-16i + 6j) + 4i - 5j
⇒ 33i + 36j + 32i - 12j + 4i - 5j
⇒ 49i + 19j
⇒ <49, 19>
2) 8u - 6v gives the resultant vector as;
8(11i + 12j) - 6(-16i + 6j)
⇒ 88i + 96j + 96i - 36j
⇒ 184i + 60j
3) 7v - 4w gives the resultant vector as;
7(11i + 12j) - 4(4i - 5j)
⇒ 77i + 84j - 16i + 20j
⇒ 61i + 104j
4) u - 5w gives the resultant vector as;
11i + 12j - 5(4i - 5j)
11i + 12j - 20i + 25j
-9i + 37j
Read more about Resultant Vectors at; brainly.com/question/110151
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