Q)
If \( \overrightarrow a \times \overrightarrow b=\overrightarrow c \times \overrightarrow d\: and \: \overrightarrow a \times \overrightarrow c=\overrightarrow b \times \overrightarrow d\) show that \( \overrightarrow a-\overrightarrow d\) is parallel to \( \overrightarrow b-\overrightarrow c\) where \( \overrightarrow a \neq \overrightarrow d\: and \overrightarrow b \neq\overrightarrow c\)
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