The vectors veca-vecb,vecb-vecc,vecc-vec...

The vectors `veca-vecb,vecb-vecc,vecc-veca` are

parallel to each other

unit vectors

mutually perpendicular vectors

coplanar vectors.

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The correct Answer is:

A, C

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If the angles between the vectors veca and vecb,vecb and vecc,vecc an veca are respectively pi/6,pi/4 and pi/3 , then the angle the vector veca makes with the plane containing vecb and vecc , is

Prove that [veca-vecb,vecb-vecc,vecc-veca]=0

Show that the vectors 2veca-vecb+3vecc, veca+vecb-2vecc and veca+vecb-3vecc are non-coplanar vectors (where veca, vecb, vecc are non-coplanar vectors).

Shown that the points with position vectors veca-2vecb+3vecc,-2veca+3vecb+2vecc and -8veca+13vecb are collinear.

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) = 2 veca.vecb xx vecc .

Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr.vecc =0 for given non- zero vectors veca vecb and vecc Statement 1: [ veca - vecb vecb - vecc vecc- veca] =0 Statement 2: [veca vecb vecc] =0

Valume of parallelpiped formed by vectors veca xx vecb, vecb xx vecc and vecc xx veca is 36 sq. units.

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.5

If vec(BA) = 3hati+2hatj+hatk and the position vector of B is hati+3ha...
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A vector makes equal angle with the positive direction of the coordina...
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The vectors veca-vecb,vecb-vecc,vecc-veca are
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If ABCD is a parallelogram, then vec(AB)+vec(AD)+vec(CB)+vec(CD) is e...
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One of the diagonals of parallelogram ABCD with veca and vecb as adjac...
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If veca,vecb are the position vectors A and B then which one of the fo...
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If veca,vecb,vecc are the position vectors of three collinear points, ...
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If vecr=(9veca+7vecb)/(16) then the point P whose position vector vecr...
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If lambdahati+2lambdahatj+2lambdahatk is a unit vector,then the value ...
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Two vertices of a triangle have position vectors 3hati+4hatj-4hatk and...
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If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is
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If veca and vecb having same magnitude and angle between them is 60^(@...
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The value of thetain(0,(pi)/(2)) for which the vectors veca=(sintheta)...
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If |veca|=13,|vecb|=5 and veca.vecb = 60 then |vecaxxvecb| is
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Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...
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If veca and vecb are two vectors of magnitude 2 and inclined at an ang...
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If the projection of 5hati-hatj-3hatk on the vector hati+3hatj+lambdah...
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If (1,2,4) and (2,-3lambda,-3) are the initial and terminal points of ...
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If the points whose position vectors 10hati+3hatj,12hati-5hatj and aha...
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If veca=hati+hatj+hatk,vecb=2hati+xhatj+hatk,vecc=hati-hatj+4hatk and ...
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