If the vectors bar(a) = 2bar(i) -bar(j)...

If the vectors `bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2bar(j)-3bar(k), bar(c ) = 3bar(i) + pbar(j) +5bar(k)` are coplanar then find p.

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The correct Answer is:

`P=-4`

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)

Show that the vectors bara - 2barb + 3barc,- 2bara + 3barb - 4barc and...
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If bara,barb,barc are non-coplaner, then show that the vectors bara -b...
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If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2...
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Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...
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For non - coplanar vectors bara,barb and barc determine p for which th...
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If bara,barb,barc are non-coplanar vectors, prove that points with pos...
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Show that the four points -bara+ 4barb - 3barc, 3bara +2barb-5barc,-3b...
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Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3b...
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Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4...
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If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...
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Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...
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Let bara=bari-bark, barb=xbari + barj+(1-x)bark and c-ybari+xbarj+(1+x...
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If bara=(1,-1,-6),barb=(1,-3,4) and barc(-2,-5,3) then compute baraxx(...
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i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark...
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Show that 3 vectors baraxx(barb xxbarc),barb xx(barcxxbara), barc xx (...
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If barabarbbarc are three unit vectors such that baraxx(barbxxbarc)=1/...
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If bara,barb and barc are non zero non-collinear vectors and theta(ne0...
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Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...
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If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =
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Prove that [barbxxbarc barcxxbara baraxxbarb]=[bara barb barc]^(2...
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