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If bara,barb,barc " are three non zero v...

If `bara,barb,barc " are three non zero vectors, and " bara.barb = bara.barc rArr`

A

`barb=barc`

B

`bara " is perpendicular to " barb+barc`

C

`barc " is perpendicular to both " barb and barc`

D

`barb=barc " or " bara " is perpendicular to " (barb-barc)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If bara,barb,barc " are three vectors such the " bara=barb+barc,(barb,barc)=pi/2 and absbara=a, absbarb=b, absbarc=c then

    A
    `a^(2) =b^(2)+c^(2)`
    B
    `b^(2) =c^(2)+a^(2)`
    C
    `c^(2) =a^(2)+b^(2)`
    D
    `2a^(2) -b^(2) = c^(2)`

  • If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc)/([bara barb barc]),barq=(barcxxbara)/([bara barb barc]),barr=(baraxxbarb)/([bara barb barc]) then (bara+barb).barp+(barb+barc).barq+(barc+bara).barr =

    A
    0
    B
    6
    C
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    D
    `-4`

  • 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) =

    A
    3
    B
    `4+sqrt3+sqrt2`
    C
    `sqrt(4+sqrt3+sqrt3)`
    D
    2

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