The value of 'a' so that the volume of p...

The value of 'a' so that the volume of parallelopiped formed by `bari +abarj +bark, barj +abark`, and `abari + bark` becomes minimum is

A

`-3`

B

3

C

`1/(sqrt3)`

D

`sqrt3`

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The correct Answer is:

C

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II

Let bara=bari-barj,barb=barj-bark,barc=bark-bari. lf dis a unit vector...
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A unit vector in the plane of the vectors 2bari +barj+bark, bari - bar...
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The value of 'a' so that the volume of parallelopiped formed by bari +...
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The volume of parallelopiped with edges bar(OA) = (lamda+ 2)bari +(l...
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If bara, barb, barc are three non-coplanar vectors represented by conc...
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If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...
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If V is the volume of the parallelopiped having three coterminous edge...
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The volume of the triangular pyramid with vertices A(2, 2, 2), B(4, 3,...
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If bara, barb, barc are non-coplanar, nonzero vectors and barr is any ...
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If bara,barb are non-zero and non-collinear vectors then [bara barb ba...
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Let barr be a vector perpendicular to bara + barb + barc . If barr=l(b...
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Let bara,barb are two unit vectors such that bara.barb=0. If barc=xbar...
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If bara, barb, barc are non - coplanar vectors and lamda is a real num...
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If bar(a), bar(b), bar(c) are non coplanar vectors and lambda is a rea...
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If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...
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If bar(a^(1)),bar(b^(1)),bar(c^(1)) represents the reciprocal system o...
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Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...
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bara^(1)xxbarb^(1)+barb^(1)xxbarc^(1)+barc^(1)xxbara^(1)=
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If barr is any vector then barr =
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Arrange the following in the descending order of magnitude (A) [I...
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