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MODERN PUBLICATION-VECTORS-Exercise
- Write unit vector in the direction of the sum of vectors veca=2hati+...
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- IF veca=2hati-hatj+2hatk and vecb=6hati+2hatj+3hatk, find a unit vecto...
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- Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...
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- 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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