A) \[a+b\]
B) \[{{(a-b)}^{2}}\]
C) \[{{(a+b)}^{2}}\]
D) \[({{a}^{2}}-{{b}^{2}})\]
Correct Answer: D
Solution :
\[(\overrightarrow{a}+\overrightarrow{b}).(\overrightarrow{a}-\overrightarrow{b})\] \[=|\overrightarrow{a}{{|}^{2}}-\overrightarrow{a}.\overrightarrow{b}+\overrightarrow{a}.\overrightarrow{b}-|\overrightarrow{b}{{|}^{2}}\] \[=|\overrightarrow{a}{{|}^{2}}-|\overrightarrow{b}{{|}^{2}}={{a}^{2}}-{{b}^{2}}\]You need to login to perform this action.
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