alleryIf $\mathbf{A}=\langle 2,-1,4\rangle$ and $\mathbf{B}=\langle 3,5,-2\rangle$, then $\mathbf{A}+\mathbf{B}$ is
A$\langle 5,4,2\rangle$
B$\langle 6,-5,-8\rangle$
C$\langle 1,6,6\rangle$
D$\langle 5,-6,2\rangle$
Answer & Solution
Correct answer: A. $\langle 5,4,2\rangle$
Vector addition is done component-wise: $\mathbf{A}+\mathbf{B}=\langle 2+3,-1+5,4+(-2)\rangle=\langle 5,4,2\rangle$.
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