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`axxb=bxxa`

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Explore conceptually related problems

Which of the following statement are true? (i) The product of a positive and negative integer is negative. (ii) The product of three negative integers is a negative integer. (iii) Of the two integers, if one is negative, then their product must be positive. (iv) For all non-zero integers a and b , axxb is always greater than either a or b. (v) The product of a negative and a positive integer may be zero. (vi) There does not exist an integer b such that for a gt1, axxb=bxxa=b.

if axxb = bxxc != 0 with a != -c then show that a+c = kb, where k is scalar.

Knowledge Check

  • If axxb=bxxc ne0 , then the correct statement is

    A
    `b||c`
    B
    `a||b`
    C
    `(a+c)||b`
    D
    none of these

  • The vector hati xx [(axxb) xx hati + hatj xx [(axxb)xxhatj ] + hatk xx [(axxb) xxhatk] is equal

    A
    `2( axxb)`
    B
    b
    C
    `(a.b)b`
    D
    0

  • If [axxb bxxc c xxa]=lambda[abc]^(2) , then lambda is euqual to

    A
    1
    B
    2
    C
    3
    D
    0

    • Similar Questions

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    ( axxb) xx (a xxc ).d equals

    If alpha(axxb)+beta(bxxc)+gamma(cxxa)=0 , then

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