A) \[\overrightarrow{a}.(\overrightarrow{b}+\overrightarrow{c})\]
B) \[2\overrightarrow{a}.(\overrightarrow{b}+\overrightarrow{c})\]
C) \[\overrightarrow{b}.(\overrightarrow{a}+\overrightarrow{c})\]
D) None of these
Correct Answer: D
Solution :
Given, \[\overrightarrow{a}=\overrightarrow{b}+\overrightarrow{c}\] \[\overrightarrow{a}.(\overrightarrow{b}\times \overrightarrow{c})=(\overrightarrow{b}+\overrightarrow{c}).(\overrightarrow{b}\times \overrightarrow{c})\] \[=[\overrightarrow{b}\overrightarrow{b}\overrightarrow{c}]+[\overrightarrow{c}\overrightarrow{b}\overrightarrow{c}]=0\]You need to login to perform this action.
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