JEE Main & Advanced Mathematics Vector Algebra Question Bank Modulus of vector Algebra of vectors

  • question_answer
    If one side of a square be represented by the vector \[3\mathbf{i}+4\mathbf{j}+5\mathbf{k},\] then the area of the square is

    A) 12           

    B) 13

    C) 25           

    D) 50

    Correct Answer: D

    Solution :

    \[|\mathbf{a}|=\sqrt{9+16+25}=5\sqrt{2}\] Area \[=|\mathbf{a}{{|}^{2}}=25\times 2=50.\]


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