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FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
- Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj)...
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- If the straight lines (x-1)/(2)=(y+1)/(lamda)=(z)/(2)and(x+1)/(5)=(y+1...
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- If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/...
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- Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5) and (x+1)/(-1)...
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- Find the point of intersection of the line passing through the two poi...
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- Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...
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- Find the point of intersection of the line vecr=(vecj-veck)+s(2veci-...
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- Find the meeting point of the line vecr=(2veci+vecj-3veck)+t(2veci-v...
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- Show that the following planes are at right angles: vecr.(2veci+vec...
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- The planes vecr.(2vec+lambdavecj-3veck)=10 and vecr.(lambdavec+3ve...
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- Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and th...
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- Find the angle between the line vecr=veci+vecj+3veck+lambda(2veci+ve...
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- If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-v...
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- If veca=hati-hatk,vecb=xhati+hatj+(1-x)hatk,vecc=yhati+xhatj+(1+x-y)h...
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- If veca , vecb , vecc are three non-coplanar vector and vecp...
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- The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...
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- Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...
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- The value of hati.(hatjxxhatk)+(hatixxhatk).hatj …….
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- The value of [hati - hatj , hatj - hatk, hatk - hati] is :
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- Show that vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=vec0.
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