Consider two points P and Q with positio...

Consider two points P and Q with position vectors `vec(OP) = 3veca-2vecb` and `vec(OQ) = veca + vecb`. Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, internally.

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MODERN PUBLICATION-VECTORS-Exercise

If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...
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Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...
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Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...
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Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...
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Find the position vector of a point R which divides the line joining t...
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Show that the following points are collinear : A(-2,1),B(-5,-1),C(1,3)...
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Show that the following points are collinear : A(1,2,7),B(2,6,3),C(3,1...
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If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...
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Show that the following vectors are coplanar : hati-hatj+hatk,6hati-ha...
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Show that the following vectors are coplanar : 3hati-2hatj+4hatk,6hati...
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Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3h...
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Show that the points A(3,-2,1),B(1,-3,5),C(2,1,-4) do not form a right...
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If the position vectors of the vertices of a triangle are : vecA=hati+...
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If veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk and vecc = hati-2h...
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Show that the four points A,B,C,D with position vectors veca*vecb*vecc...
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Show that the four points P,Q,R,S with position vectors vecp,vecq,vecr...
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Prove that the necessary and sufficient condition for three vectors ve...
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If veca,vecb,vecc,vecd respectively, are position vectors representing...
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If Q is the point of intersection of the medians of a triangle ABC, pr...
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G is the centroid of a triangle ABC, show that : vec(GA)+vec(GB)+vec(G...
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