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JEE Main & Advanced Mathematics Vector Algebra Question Bank Self Evaluation Test - Vector Algebra

  • question_answer
    If vector \[a=2i-3j+6k\] and vector \[b=-2i+2j-k\],\[\text{then}\,\,\,\frac{\text{Projection}\,\,\text{of}\,\,\text{vector}\,\,\text{a}\,\,\text{on}\,\,\text{vector}\,\,\text{b}}{\text{Projection}\,\,\text{of}\,\,\text{vector}\,\,\text{b}\,\,\text{on}\,\,\text{vector}\,\,\text{a}}\text{=}\]

    A) \[\frac{3}{7}\]

    B) \[\frac{7}{3}\]

    C) 3

    D) 7

    Correct Answer: B

    Solution :

    [b] Required value \[={\frac{b.a}{|b|}}/{\frac{a.b}{|a|}=\frac{|a|}{|b|}=\frac{7}{3}.}\;\]


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