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Let bara=a(1)bari+a(2)barj+a(3)bark,barb...

Let `bara=a_(1)bari+a_(2)barj+a_(3)bark,barb=b_(1)bari+b_(2)barj+b_(3)barkbarc=c_(1)bari+c_(2)barj+c_(3)bark` be three non-zero vectors such that `barc` be three non-zero vectors such that `bara` and `barb`. If the angle between `bara` and `barb` is `pi//6` then `abs({:(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3)):})^(2)=`

Answer

Step by step text solution for Let bara=a_(1)bari+a_(2)barj+a_(3)bark,barb=b_(1)bari+b_(2)barj+b_(3)barkbarc=c_(1)bari+c_(2)barj+c_(3)bark be three non-zero vectors such that barc be three non-zero vectors such that bara and barb. If the angle between bara and barb is pi//6 then abs({:(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3)):})^(2)= by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the angle between " bara and barb is

    A
    `pi+cos^(-1)(11/(10sqrt7))`
    B
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    C
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    D
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  • If bara = 2 bar I - 3 barj + bark, barb = bari - barj + 2 bark and bar c = 2 bari + bar j + bar k are three vectors, then | (bar a xx barb) xxbarc|=

    A
    `|bara xx (barb xx barx) |`
    B
    ` (sqrt39)/(sqrt11) |bara xx (barb xx barc)|`
    C
    `sqrt((11)/(39)) | bar a xx (bar b xx barc )|`
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    ` sqrt11 |bara xx (bar b xx barc)|`

  • bara=bari-bark,barb=xbari+barj+(1-x)bark,barc=ybari+xbarj+(1+x-y)bark then [barabarbbarc] depends on

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    only x
    B
    only y
    C
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