Subtract corresponding x and y components
- u - v = - <- 8, 4> - <2, 7> = <8, - 4> - <2, 7> = <8 - 2, - 4 - 7> = <6, - 11>
u - v = <- 8, 4> - <2, 7> = <- 8 - 2, 4 - 7> = <- 10, - 3>
v - u = <2, 7> - <- 8, 4> = <2 + 8, 7 - 4> = <10, 3>
The resultant of subtractions of u = <-8, 4> and v = <2, 7> are
-u-v = <6, -11>,
u-v = <-10, -3>,
and v-u= <10,3>.
Given that,
The results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.
We have to determine,
The value of -u-v, u-v, and v-u.
According to the question,
The results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.
The value of -u-v is,
[tex]- u - v = - <- 8, 4> - <2, 7> \\\\ -u-v = <8, - 4> - <2, 7> \\\\-u-v = <8 - 2, - 4 - 7> \\\\-u-v= <6, - 11>[/tex]
The value of u-v is,
[tex]u - v = <- 8, 4> - <2, 7> \\\\u-v= <- 8 - 2, 4 - 7> \\\\u-v= <- 10, - 3>[/tex]
The value of v - u is,
[tex]v-u = <2, 7> - <- 8, 4> \\\\v-u= <2 + 8, 7 - 4>\\\\v-u = <10, 3>[/tex]
Hence, The resultant of subtractions of u = <-8, 4> and v = <2, 7> are
-u-v = <6, -11>,
u-v = <-10, -3>,
and v-u= <10,3>.
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