1.

The resultant of \[\vec{A}\] and \[\vec{B}\] is \[{{\vec{R}}_{1}}\]. On reversing the vector \[\vec{B},\] the resultant becomes \[{{\vec{R}}_{2}}\]. What is the value of \[R_{1}^{2}\,+\,R_{2}^{2}\,?\]

A. \[{{A}^{2}}+\,{{B}^{2}}\]
B. \[{{A}^{2}}-{{B}^{2}}\]
C. \[2({{A}^{2}}+\,{{B}^{2}})\]
D. \[2({{A}^{2}}-\,{{B}^{2}})\]
Answer» D. \[2({{A}^{2}}-\,{{B}^{2}})\]


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