If the point whose position vectors are ...

If the point whose position vectors are `2hati+hatj+hatk, 6hati-hatj+2hatk and 14hati-5hatj+phatk` collinear, then the value of p is

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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems

Let overset(-)a be a unit vector overset(-)b=2hati+hatj-hatk and overs...
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Let a=a(1) hati+a(2) hatj+a(3) hatk Assertion (A) The identity |ve...
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If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2h...
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The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...
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If veca=overset(-)i-overset(-)j-overset(-)k and vecb=lambda hati-3hatj...
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The volume (in cubic unit) of the tetrahedron with edges hati+hatj+hat...
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If a + b + c = 0 and |a| = 3, |b| = 4 and |c| = sqrt(37) the angle bet...
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The position vector of a point lying on the line joining the points wh...
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If hati-2hatj,3hatj+4hatk and lambda hati+3hatj are coplanar, then lam...
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If the volume of parallelopiped with conterminus edges 4hati+5hatj+hat...
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If veca. hati+veca. (2hati+hatj)=veca. (hati+hatj+3hatk)=1 then veca i...
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If the vector veca=2hati+3hatj+6hatk and vecb are collinear and |vecb|...
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If vec(a) and vec(b) are unit vectors, then the vectors (vec(a) + vec(...
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Statement I Two non-zero, non-collinear vectors are linearly independe...
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Match the columns and choose the correct answer.
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Assertion (A): Three vectors are coplanar if one of them is expressibl...
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The points collinear (1,-2,-3) and (2,0,0) among the following is
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If hati+2hatj+3hatk, 3hati+2hatj+hatk are the sides of a parallelogram...
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If G is the centroid of the triangleABC," then "overset(-)(GA)+overset...
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if the vectors hati+3hatj+4hatk, lambda hati-4hatj+hatk are othogonal ...
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