find the component form of -u - v given that u=(-3,5) and v =(6,-3)
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ANSWER
B.
[tex] < \: - 3, -2 \: > [/tex]
EXPLANATION
The given vectors are:
[tex]u = < \: - 3,5 \: > [/tex]
and
[tex]v= < \: 6, - 3\: > [/tex]
[tex] - u - v = - 1< \: - 3,5 \: > -1 < \: 6, - 3\: > [/tex]
Use the scalar to multiply and obtain;
[tex] - u - v = < \: 3, - 5 \: > + < \: - 6, 3\: > [/tex]
Simplify to get:
[tex]- u - v = < \: 3 - 6, - 5 + 3 \: > [/tex]
[tex]- u - v = < \: - 3, -2 \: > [/tex]