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VIKAS GUPTA (BLACK BOOK)-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
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- If veca=hati+6hatj+3hatk;vecb=3hati+2hatj+hatk and vec c=(alpha+1)hati...
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- Consider the lines: L1:(x-2)/1=(y-1)/7=(z+2)/-5, L2:x-4=y+3=-z Then wh...
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- Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...
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- The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...
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- If hati xx[(veca-hatj)xxhati]xx[(veca-hatk)xxhatj]+veckxx[(veca-veci)x...
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- The value of expression [veca xx vecb" "vec c xx vecd" " vece xx vecf...
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- If vec a ,vec b,vec c and vec d are the position vectors of the point...
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- If OAB is a tetrahedron with edges and hatp, hatq, hatr are unit vect...
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- Let hata and hatc are unit vectors and |vecb|=4. If the angle between...
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- Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then
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- Let vecr=sinx (veca xx vecb)+cosy(vecb xx vec c)+2(vec c xx veca), whe...
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- If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...
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- Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...
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- The volume of a tetrahedron prism ABCA1B1C1 is equal to 3. Find the co...
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- If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z ...
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- If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...
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- Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...
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- The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...
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- Which of the following statement(s) is/are incorrect ?
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