The position vector of a point P is vecr...

The position vector of a point `P` is `vecr=xhati+yhatj+zhatk` where `x,y,zepsilonN` and `veca=hati+hatj+hatk`. If `vecr.veca=10`, then the number of possible position of `P` is

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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise

If veca,vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,...
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If [(veca,vecb,vecc)]=3, then the volume (in cubic units) of the paral...
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If V is the volume of the parallelopiped having three coterminous edge...
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The unit vector veca and vecb are perpendicular, and the unit vector v...
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If the vector vec(AB)=-3hati+4hatk and vec(AC)=5hati-lamdahatj+4hatk ...
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Let veca and vecb be two mutually perpendicular unit vectors and vecc ...
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Let the position vectors of vertices A,B,C of DeltaABC be respectively...
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The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...
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veca and vecb are two unit vectors that are mutually perpendicular. A...
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If the vectors 2ahati+bhatj+chatk, bhati+chatj+2ahatk and chati+2ahatj...
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Let vec(alpha)=ahati+bhatj+chatk,vecb=bhati+chatj+ahatk and vec(gamma)...
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Let veca,vecb,vecc be three mutually perpendicular vectors having same...
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Let veca,vecb and vecc be the three non-coplanar vectors and vecd be a...
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Let vecr be a unit vector satisfying vecrxxveca=vecb, where |veca|=sqr...
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Let veca and vecc be unit vectors such that |vecb|=4 and vecaxxvecb=2(...
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If 4veca+5vecb+9vecc=vec0 then (vecaxxvecb).{(vecbxxvecc)xx(veccxxveca...
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If in a triagle ABC, vec(AB)=(vecu)/(|vecu|)-(vecv)/(|vecv|) and vecAC...
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Let A(2hati+3hatj+5hatk),B(-hati+3hatj+2hatk) and C(lamdahati+5hatj+mu...
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A plane is parallel to the vectors hati+hatj+hatk and 2hatk and anothe...
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If A,B,C,D are four points in space, then |vec(AB)xvec(CD)+vec(BC)xxve...
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