2. Solved Papers
  3. JAMIA MILLIA ISLAMIA

JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2006

  • question_answer
        \[\overrightarrow{a}\]and\[\overrightarrow{b}\]are two non-zero vectors, then \[(\overrightarrow{a}+\overrightarrow{b})-(\overrightarrow{a}-\overrightarrow{b})\]is equal to

    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.
You will be redirected in 3 sec spinner