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Let veca=2vecj+vecj-2veck,vecb=veci+vecj...

Let `veca=2vecj+vecj-2veck,vecb=veci+vecj.` If `vecc` is a vector such that `veca.vecc=|vecc|,|vecc-veca|=2sqrt(2)` and the angle between `vecaxxvecb` and `vecc` is `30^(@)`. Find the value of `|(vecaxxvecb)xxvecc|`

Answer

Step by step text solution for Let veca=2vecj+vecj-2veck,vecb=veci+vecj. If vecc is a vector such that veca.vecc=|vecc|,|vecc-veca|=2sqrt(2) and the angle between vecaxxvecb and vecc is 30^(@). Find the value of |(vecaxxvecb)xxvecc| by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • The vectors veca-vecb,vecb-vecc,vecc-veca are

    A
    parallel to each other
    B
    unit vectors
    C
    mutually perpendicular vectors
    D
    coplanar vectors.

  • If veca,vecb, vecc are three non-coplanar vectors such that vecaxx(vecbxx vecc)=(vecb+vecc)/(sqrt(2)) then the angle between veca and vecb is ________.

    A
    ` (pi)/(6) `
    B
    ` (pi)/(4) `
    C
    ` (pi)/(2) `
    D
    ` (3pi)/(4) `

  • If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-vecj+2veck then veca.(vecbxxvecc) =

    A
    6
    B
    10
    C
    12
    D
    24

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