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MODERN PUBLICATION-VECTORS-Exercise
- If the vectors phati+hatj+hatk,hati+qhatj+hatk and hati+hatj+rhatk(p n...
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- Let a,b and c be three non-zero vectors which are pairwise non-colline...
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- Let veca and vecb be two unit vectors. If the vectors : vecc=veca+2vec...
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- Let ABCD be a parallelogram such that AB=q, AD=p and angleBAD be an ac...
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- If veca and vecb are vectors such that |veca+vecb|=sqrt(29) and vecaxx...
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- If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj-4hatk are t...
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- Let vec(PR)=3hati+hatj-2hatk and vec(SQ)=hati-3hatj-4hatk determine di...
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- If [vecaxxvecb vecbxxvecc veccxxveca]=lambda[veca vecb vecc]^2, ...
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- Let veca,vecb and vecc be three non-zero vectors such that no two of t...
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- Let veca,vecb and vecc be three unit vectors such that : vecaxx(vecbxx...
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- Find the values of 'x' for which x(hati+hatj+hatk) is a unit vector.
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- Find the angle between the vectors hati-hatj and hatj-hatk.
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- Find |vecaxxvecb| if veca=2hati+hatj+3hatk and vceb=3hati+5hatj-2hatk.
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- Show that the following vectors are collinear : 2hati-3hatj+4hatk and ...
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- Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4ha...
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- If |veca|=a and |vecb|=b, prove that ((veca)/(a^2)-(vecb)/(b^2))^2=((v...
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- If vecr=xhati+yhatj+zhatk, find : (hatrxxhati)*(hatrxxhatj)+xy.
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- Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5...
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- If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...
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- Prove that : sin(A- B) = sin A cos B -cos A sin B.
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