JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    The angle between the vectors \[(\hat{i}+\hat{j})\] and \[(\hat{j}+\hat{k})\] is                                                                 [EAMCET 1995]

    A)                 30°         

    B)                 45°

    C)                 60°

    D)                 90°

    Correct Answer: C

    Solution :

                        \[(\hat{i}+\hat{j}).(\hat{j}+\hat{k})=0+0+1+0=1\]                 \[\cos \theta =\frac{\vec{A}.\vec{B}}{|\vec{A}||\vec{B}|}=\frac{1}{\sqrt{2}\times \sqrt{2}}=\frac{1}{2}\]\ \[\theta =60{}^\circ \]   


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