Show that the four points -overlinea+4ov...

Show that the four points `-overlinea+4overlineb-3overlinec,3overlinea+2overlineb-5overlinec,-3overlinea+8overlineb-5overlinec,-3overlinea+2overlineb+overlinec` are coplanar, where `overlinea,overlineb,overlinec` are non-coplanar vectors.

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IPE:MARCH-2019(TS)
SRISIRI PUBLICATION|Exercise SECTION-C|6 Videos
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IF overlinea=2overlinei+overlinej-overlinek,overlineb=-overlinei+2overlinej-4overlinek,overlinec=overlinei+overlinej+overlinek then find (overlinea times overlineb).(overlineb times overlinec)

IF overlinea=overlinei-2overlinej-3overlinek,overlineb=2overlinei+overlinej-overlinek and overlinec=overlinei+3overlinej-2overlinek ,find overlinea.(overlinebtimesoverlinec) .

IF overlinea=2overlinei-overlinek,overlineb=-overlinei+2overlinej-4overlinek,overlinec=overlinei+overlinej+overlinek then find (overlineatimesoverlineb).(overlinebtimesoverlinec)

Let overlinea=2overlinei+4overlinej-5overlinek,overlineb=overlinei+overlinej+overlinek,overlinec=overlinej+2overlinek . Find the unit vector in the opposite direction of overlinea+overlineb+overlinec

IF overlinea=2overlinei+3overlinej+4overlinek,overlineb=overlinei+overlinej-overlinek,overlinec=overlinei-overlinej+overlinek , compute overlineax(overlinebxoverlinec) and verify that it is perpendicular to overlinea

IF overlinea=overlinei+2overlinej-3overlinek and overlineb=3overlinei-overlinej+2overlinek then show that overlinea+overlineb and overlinea-overlineb are perpendicular to each other.

Let overlinea=overlinei+2overlinej+3overlinek & overlineb=3overlinei+overlinej . Find a unit vector in the direction of overlinea+overlineb

overlinea=2overlinei-overlinej+overlinek,overlineb=overlinei-3overlinej-5overlinek . Find the vector overlinec such that overline a ,overline b & overline c form the sides of a triangle.

SRISIRI PUBLICATION-IPE:MAT-2019(AP)-IPE:MAY-2019(AP) (MATHS-1A)

IF A=[{:(2,-4),(-5,3):}] the find A+A' and AA'.
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Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]
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IF the position vectors of the points A,B,C are -2overlinei+overlinej-...
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Find the vector equation of the plane passing through the points bar(i...
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overlinea=2overlinei-overlinej+overlinek,overlineb=overlinei-3overline...
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Sketch the graph of sin 2x in the intervals (0,pi).
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P.T (i) sin^2 52""1^@/2-sin^2 22""1^@/2=(sqrt3+1)/(4sqrt2) sin^2 52""1...
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If sinhx=3" then show that "x=log(3+sqrt10)
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Show that the four points -overlinea+4overlineb-3overlinec,3overlinea+...
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IF overlinea+overlineb+overlinec=overline0,|overlinea|=3|overlineb|=5a...
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If alpha,beta are the solutions of the equation acostheta+bsintheta=c...
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If 0 lt x lt pi/2 then solve cot^2x-(sqrt3+1)cotx+sqrt3=0
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P.T Tan^-1""1/7+Tan^-1""1/13-Tan^-1""2/9=0
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Prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2...
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If f:ArarrB,g:BrarrC are two bijective functions then P.T ("gof")^(-1)...
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Using Mathematical Induction , prove that statement for all n inN ...
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Solve |{:(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64):}|=0
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Apply the test of rank to examine whether the equations x+y+z=6,x-y+z=...
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Fo any four vectors overlinea,overlineb,overlinec and overlined, prove...
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In DeltaABC,(r1+r2)sec^2""C/2=
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