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If bara is a unit vector and barx is an...

If `bara` is a unit vector and `barx` is any vector such that `(barx-bara).(barx+bara)= 15 " then find " absbarx`.

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If bara is a non-zero vector are two vectors such that bara xx barb= bara xx barc and bara.barb=bara.barc , then prove that barb=barc .

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Knowledge Check

  • If bara is a unit vector then baraxx{baraxx(baraxxbarb)}=

    A
    `baraxxbarb`
    B
    `barbxxbara`
    C
    `2(baraxxbarb)`
    D
    `2(barbxxbara)`

  • If bara, barb are two unit perpendicular vectors then baraxx (baraxx barb) =

    A
    `-bara`
    B
    `bara`
    C
    `barb`
    D
    `-barb`

  • If bara,barb,barc are any three vectors such that (bara+ barb) . barc = (bara - barb) . barc = 0 then (baraxx barb)xxbarc =

    A
    `bar0`
    B
    `bara`
    C
    `barb`
    D
    `barc`

    • Similar Questions

    Explore conceptually related problems

    If bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, " then find the least value of " bara.barb+barb.barc+barc.bara .

    bara,barb,barc are mutually perpendicular unit vectors and bard is a unit vector equally inclined to each of bara,barb and barc " at an angle of " 60^(@). " Find the value of " abs(bara+barb+barc+bard)^(2) .

    If bara,barb,barc are non-coplanar unit vectors such that baraxx(barbxxbarc)=(barbxxbarc)/(sqrt2) then (bara,barb) =

    If bara,barb,barc " are unit vectors such that " (bara,barb) = pi/6, (barb,barc)= pi/3 and (barc,bara)=pi/4 ," then " abs(bara+barb+barc) =

    If bara, barb, barc are non-coplanar, nonzero vectors and barr is any vector in space then [bara barb barc]barc+[barb barc bara]bara+[barc bara barb]barb =

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