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Math Help - Is the following statement true of false? * please check answer

  1. #1
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    Is the following statement true of false? * please check answer

    The question is :

    Is the following statement true of false? Explain your decision.
    “If u x v = v x u, then u is orthogonal (i.e. perpendicular) to v.”

    My answer is :
    This statement is false because u is parallel to v , thus the cross product equals zero in each case therefore u cannot be perpendicular to v .

    is that alright ?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by nosh View Post
    The question is :

    Is the following statement true of false? Explain your decision.
    “If u x v = v x u, then u is orthogonal (i.e. perpendicular) to v.”

    My answer is :
    This statement is false because u is parallel to v , thus the cross product equals zero in each case therefore u cannot be perpendicular to v .

    is that alright ?
    that's right. just say that u = v is a solution to the equation and so the equation does not imply u is orthogonal to v
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