1.

Let \(\left| {\overrightarrow {{{\rm{A}}_1}} } \right| = 3,\;\left| {\overrightarrow {{{\rm{A}}_2}} } \right| = 5{\rm{\;and\;}}\left| {\overrightarrow {{{\rm{A}}_1}} + \overrightarrow {{{\rm{A}}_2}} } \right| = 5\). The value of \(\left( {2\overrightarrow {{{\rm{A}}_1}} + 3\overrightarrow {{{\rm{A}}_2}} } \right) \cdot \left( {3\overrightarrow {{{\rm{A}}_1}} - 2\overrightarrow {{{\rm{A}}_2}} } \right)\) is:

A. -106.5
B. -99.5
C. -118.5
D. -112.5
Answer» D. -112.5


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