Find the component form of -u - v given that u=(-5,6) and v =(7,-3)
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Answer: Third option
[tex]-u-v = <-2, -3>[/tex]
Step-by-step explanation:
We have the vector u and the vector v. We must perform the operation [tex]-u-v[/tex].
To perform this operation multiply the vector u by -1 and multiply the vector v by -1.
If u = (-5,6)
So
-1u = (5, -6)
If v = (7, -3)
So
-1v = (-7, 3)
Then the sum of both vectors is done by adding the components of u with the components of v.
[tex]-u-v = (5, -6) + (-7,\ 3)\\\\-u-v = (5-7\ ,\ -6 + 3)\\\\-u-v = (-2,\ -3)[/tex]