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If vec(a) + 2vec(b) + 4vec(c ) = vec(0) ...

If `vec(a) + 2vec(b) + 4vec(c ) = vec(0)` then show that `vec(a) xx vec(b) =4 (vec(b) xx vec(c ))= 2(vec(c ) xx vec(a))`

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Knowledge Check

  • (vec(a) xx vec(b), vec(b) xx vec(a)) =

    A
    `180^(@)`
    B
    `90^(@)`
    C
    `120^(@)`
    D
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  • If vec(a) + 2vec(b) + 4 vec(c )= vec(0) , then vec(a) xx vec(b) + vec(b) xx vec(c )+ vec(c )xx vec(a)=

    A
    0
    B
    `1(vec(b) xx vec(c ))`
    C
    `2(vec(b) xx vec(c ))`
    D
    `7(vec(b) xx vec(c ))`

  • If vec(C) = vec(A) + vec(B) then

    A
    `vec(C)` is always greater than `|vec(A)|`
    B
    C is always equal to A+B
    C
    C is never equal to A+B
    D
    It is possible to have `|vec(C)| lt |vec(A)|` and `|vec(C)| lt |vec(B)|`

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