Question

evaluate the following expression: $5(1,3) - 3(2,-1)$. \
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a. $(-1,18)$ \
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b. $(11,0)$ \
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c. $(11,3)$ \
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d. $(-3,-2)$

Explanation:

Step1: Multiply scalars to vectors

$5(1,3)=(5\times1, 5\times3)=(5,15)$
$3(2,-1)=(3\times2, 3\times(-1))=(6,-3)$

Step2: Subtract the two vectors

$(5,15)-(6,-3)=(5-6, 15-(-3))=(-1,18)$

Answer:

A. (-1,18)