If `vecr=2hati-3hatj+2hatk` find the direction cosines of `vecr.

Find the direction ratios and the direction cosines of the vector vecr= hati + hatj+hatk .

Show that the lne vecr=(2hati+5hatj+7hatk)+lambda(hati+3hatj+4hatk) is parallel to the plane vecr.(hati+hatj-hatk)=7 . Also, find the distance between them.

If vecp = hati + hatj, vecq = 4hatk - hatj " and " vecr =hati + hatk , then the unit vector in the direction of 3vecp+ vecq - 2vecr is

If vecF=2hati+3hatj-hatk and vecr=hati-hatj+6hatk find vecrxxvecF

Find the distance of the point (-1,-5,-10) from the point of the intersection of the line vecr = 2hati-2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk) = 5 .

If vecomega=2hati-3hatj+4hatk and vecr=2hati-3hatj+2hatk then the linear velocity is

The line through hati+3hatj+2hatk and perpendicular to the lines vecr=(hati+2hatj-hatk)+lamda(2hati+hatj+hatk) and vecr=(2hati+6hatj+hatk)+mu(hati+2hatj+3hatk) is

If vecF=hati+2hatj-3hatk and vecr=2hati-hatj+hatk find vecrxxvecF

Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) and the plane vecr.(3hati+2hatj-hatk)=4 is