The lines barr =bara+ tbarb, barr = barc...

The lines `barr =bara+ tbarb, barr = barc + bart^(1)bard` are coplanar if

`(bara-barb).barcxxbard=0`

`(bara-barc).(barbxxbard)=0`

`(barb-barc).baraxxbard=0`

`(barb-bard).baraxxbarc=0`

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Observe the following, choose correct answer : Assertion(A): The lines barr =(2bari + barj)+s(bari + barj -bark) and barr =(bari +bark)+t(7bari - barj +bark) are coplanar. Reason (R) : Condition for the lines barr = bara + sbarb and barr = barc + tbard to be coplanar is [bara-barc barb -bard]=0

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If bara,barb,barc are non-coplanar vectors, prove that barb xx barc, barc xx bara, bara xx barb are also non coplanar and hence express any vector bard in terms of the vectors barbxxbarc, barcxxbara , and baraxxbarb .

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II

The shortest distance between the lines whose equations are barr = t...
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The shortest distance between the lines through the points (2, 3, 1), ...
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The lines barr =bara+ tbarb, barr = barc + bart^(1)bard are coplanar i...
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Observe the following, choose correct answer : Assertion(A): The lin...
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The equation of the plane containing the lines barr = bara+ tbarb and ...
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Let bara=a(1)bari+a(2)barj+a(3)bark,barb=b(1)bari+b(2)barj+b(3)barkbar...
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The three concurrent edges of a parallelopiped represents the vectors ...
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The shortest distance between the skew lines barr=(bari+3barj+3barK)+t...
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If x, y, z are non-zero real numbers, bara=xbari+2barj,bara=ybarj+3bar...
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The angle between the lines barr=(2bari-3barJ+k)+lamda(bari+4barj+3k...
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If bara=2bari +bark, barb=bari +barj+bark, barc=4bari-3barj+7bark then...
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If bara,barb,barc are three vectors such that absbara =1, absbarb = ...
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[(baraxxbarb)xx(baraxxbarc)].bard=k[bara barb barc] then k=
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If bara=2bari-3barj+5bark,barb=3bari-4barj+5bark and barc = 5bari - 3b...
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The shortest distance between the skew line (x-3)/(-1) =(y-4)/(2)=(z+2...
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If veca =2bari+3barj,vecb =bari+barj+bark and vecc=lamdabari+4barj+2ba...
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If the volume of parallelopiped with conterminus edges 4hati+5hatj+hat...
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If vecA,vecB,vecC are three non-coplanar vectors such that abs(vecA)=4...
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If bara=bari+barj+bark,barb=bari+barj,barc=bari and bar(baraxxbarb)xxb...
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Let OA, OB, OC be the co-terminal edges of a rectangular parallelopipe...
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