Answer:
C.) <-11, -10>
Step-by-step explanation:
Let's define how to work with vectors.
For two vectors:
V = <a, b>
W = <c, d>
The product of a scalar k and a vector is given by:
k*V = k*<a, b> = <k*a, k*b>
And the sum (or difference) of two vectors is given by:
V ± W = <a, b> ± <c, d> = <a ± c, b ± d>
Now that we know this, we can solve the problem.
Here we have the vectors:
u = <2, 1>
v = <5, 4>
then:
2u - 3*v = 2*<2, 1> - 3*<5, 4>
= <2*2, 2*1> - <3*5, 3*4>
= <4, 2> - <15, 12>
= <4 - 15, 2 - 12>
= < -11, -10>
Then the correct option is C.
