If bara,barb,barc are non-coplanar vecto...

If `bara,barb,barc` are non-coplanar vectors and `(bara+2barb+barc).(bara-barb)xx(bara-barb-barc)=lamda[barabarbbarc]` then `lamda`=

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barc.(barb+barc)xx(bara+barb+barc)=

i) Let bara, barb and barc be non - coplanar vectors and baralpha=bara+2barb+3barc,barbeta=2bara+barb-2barc and bargamma=3bara-7barc , then find [baralphabarbetabargamma] (ii) If bara,barbbarc are non coplanar vectors, then find ((bara+2barb-barc).[(bara-barb)xx(bara-barb-barc)])/([barabarbbarc])

Let bara,barb and barc be non coplanar vectors if [2bara-barb+3barc,bara+barb-2barc,bara+barb-3barc]=lamda[bara barb barc] then find lamda .

Let bara,barb and barc be non coplanar vectors if [bara+2barb 2barb+barc 5barc+bara]=lamda[bara barb barc] then find lamda

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([barabarbbarc]),barb^(1)=(barcxxbara)/([barabarbbarc]) and barc^(1)=(baraxxbarb)/([barabarbbarc]) then prove that (bara+barb).bara^(1)+(barb+barc).barb^(1)+(barc+bara).barc^(1)=3

If bara,barb,barc are unit coplanar vectors, then find [ 2bara-barb 2barb-barc 2barc -bara] .

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that (bara+barb+barc).(bara^(1)+barb^(1)+barc^(1))=3

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that bara.bara^(1)=barb.barb^(1)=barc.barc^(1)=1

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that bara.barb^(1)=bara.barc^(1)=barb.bara^(1)=barb.barc^(1)=barc.bara^(1)=barc.barb^(1)=0

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE

[baribarjbark]+[barjbarkbari]+[barkbaribarj]+[baribarkbarj]+[barjbarib...
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If [veca vecb vecc]=1 then (bara.(barbxxbarc))/((barcxxbara).barb)+(...
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If bara,barb,barc are non-coplanar vectors and (bara+2barb+barc).(bara...
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If bara, barb, barc are the sides of a triangle ABC then [barabarb bar...
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If the vectors abari+barj+bark,bari+bbarj+bark,barI+barj+cbarK are cop...
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If the vectors (a, b, c), (b, c, a) and (c, a, b) are linealy dependen...
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The volume of a parallelopiped whose edges are represented by -12bari+...
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The volume of the rectangular box whose coterminal edges along axes of...
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If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...
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The volume of the tetrahedron having the edges barI+2barj-bark,bari+ba...
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If bara,barb are non-zero and non-collinear vectors then [bara barb ba...
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Which of the following statement is not true
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If bara is perpendicular to barbxxbarc, then which of the following is...
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barixx(barjxxbark)+barjxx(barkxxbari)+barkxx(barixxbarj)=
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barixx(barixxbara)+barjxx(barjxxbara)+barkxx(barkxxbara)=
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If barb, barc are like unit vectors and baraxx (barbxx barc) = bar0 th...
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If bara, barb are two unit perpendicular vectors then baraxx (baraxx b...
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If [baraxx(barbxxbarc)]xxbarc=(bara·barc)barR then barR=
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If bara and barb are unit vectors, then the vector ( bara + barb) xx (...
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If barp is non- · zero vector such that barp. bara= barp. barb = 0 and...
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