If `vecr=xveci+yvecj+zveck` then `(vecrxxveci).(vecrxxvecj)+xy` is

If vecr=xhati+yhatj+zhatk , find : (vecrxxhati)*(vecrxxhatj)+xy .

Let vecr=xveci+yvecj+zveck be the position vector of any point and let alpha,beta,gamma be the direction angle of vecr then sin^(2)alpha+sin^(2)beta+sin^(2)gamma is:

Prove that for a vector veca defined by veca=a_xveci+a_yvecj+a_zveck , the scalar components are given by a_x=veci.veca,a_y=vecj.veca and a_z=veck.veca

If vecr=xhati+yhatj+zhatk , find : (hatrxxhati)*(hatrxxhatj)+xy .

Find the values of x and y so that the vectors 2veci+3vecj and xveci+yvecj are equal.

A positive charge 50 muC is located in xy plane at a position vector r_0 = 4hati + 4hatj . the electric field strength E at a point whose position vector is vecr = 10hati - 4hatj is ( vecr_0 and vecr are expressed in metre)

A positive charge 50 muC is located in xy plane at a position vector r_0 = 4hati + 4hatj . the electric field strength E at a point whose position vector is vecr = 10hati - 4hatj is ( vecr_0 and vecr are expressed in metre)

A positive point charge 50mu C is located in the plane xy at a point with radius vector vecr_(0)=2hat(i)+3hat(j) . The electric field vector vec(E ) at a point with radius vector vec(r )=8 hat(i)-5 hat(j) , where r_(0) and r are expressed in meter, is

A positive point charge 50mu C is located in the plane xy at a point with radius vector vecr_(0)=2hat(i)+3hat(j) . The electric field vector vec(E ) at a point with radius vector vec(r )=8 hat(i)-5 hat(j) , where r_(0) and r are expressed in meter, is