Given a parallelogram \( A B C D \). If \( |\overrightarrow{A B}|=a,|\overrightarrow{A D}|=b \&|... VIDEO
Given a parallelogram \( A B C D \). If \( |\overrightarrow{A B}|=a,|\overrightarrow{A D}|=b \&|\overrightarrow{A C}|=c \), then \( \overrightarrow{D B} \cdot \overrightarrow{A B} \) has the value
(A) \( \frac{3 a^{2}+b^{2}-c^{2}}{2} \)
(B) \( \frac{\mathrm{a}^{2}+3 \mathrm{~b}^{2}-\mathrm{c}^{2}}{2} \)
\( \mathrm{P} \)
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(C) \( \frac{\mathrm{a}^{2}-\mathrm{b}^{2}+3 \mathrm{c}^{2}}{2} \)
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