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

  • question_answer
    If a and b are two non-zero and non-collinear vectors, then a + b and a ? b are                      [MP PET 1997]

    A) Linearly dependent vectors

    B) Linearly independent vectors

    C) Linearly dependent and independent vectors

    D) None of these

    Correct Answer: B

    Solution :

    Since \[\mathbf{a}\] and \[\mathbf{b}\] are non-collinear, so \[\mathbf{a}+\mathbf{b}\] and \[\mathbf{a}-\mathbf{b}\] will also be non-collinear. Hence, a + b and a ? b are linearly independent vectors.


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