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The resultant of $\mathbf{A}$ and $\mathbf{B}$ is $\mathbf{R}_1$. On reversing the vector $\mathbf{B}$, the resultant becomes $\mathbf{R}_2$. What is the value of $R_1^2+R_2^2$ ?

A
$A^2+B^2$
B
$A^2-B^2$
C
$2\left(A^2+B^2\right)$
D
$2\left(A^2-B^2\right)$
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