Determine the valu of `lambda` for which the planes `vecr.( hati+2 hatj+3 hatk)=7` and `vecr.(lambda hati +2 hatj -7 hatk)=26` are prependicular to each other .

Find the value of lambda so that the plane vecr. (veci + 2vecj + 3veck) = 7 and vecr.(lambdaveci + 2vecj - 7veck) = 26 are perependicular to each other.

Find the angle between the plane vecr.(2 hati-hatj+2 hat k)=6 and vecr.(3 hati+6 hatj-2 hatk) =9

If the vectors 3 hati - 2hatj + mhatk and -2 hati + hatj + 4 hatk are perpendicular to each other, find the value of m.

veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perpendicular to each other , then the value of m is

The value of lamda for which the two vectors hata = 5hati+lamdahatj+hatk and hatb= hati-2hatj+hatk are perpendicular to each other is

Find the equation of the plane which constant the line of intesection of the planes vecr.( hati+2 hatj+3 hatk)-4=0 and vecr.( 2 hati+ hatj-hatk)=0 and which is prependicular to the plane vecr.(5 hati+3 hatj-6 hatk)+8=0.

Find the equation of the plane though the line of intersection of the planes vecr.(2 hati-3 hatj+ 4 hatk)=1 and vecr.( hati- hatj)+4=0 and prependicular to vecr.(2 hati- hatj+ hatk)+8=0 .

The angle between hati and line of the intersection of the planes vecr.( hati+2 hatj+ 3 hatk)=0 and vecr.(3 hati+3 hatj+ hatk)=0 is __

Find the distance between the parallel planes vecr.(2 hati-3 hatj+ 6hatk)=5 and vecr .(6 hati-9 hatj+ 18hatk)+20=0 .

A unit vector parallel to the intersection of planes vecr.( hati- hatj + hat k)=5 and vec r .(2 hati+ hatj-3 hatk)=4 is ___