Show that the following planes are right angles:
i) `vecr.(4hati-7hatj-8hatk)=5` and `vecr.(3hati-4hatj+5hatk)+10=0`
ii) `vecr.(2hati+6hatj+6hatk)=13` and `vecr.(3hati+4hatj-5hatk)+7=0`

Find the acute angle between the following planes: i) vecr.(hati+hatj-2hatk)=5 and vecr.(2hati+2hatj-hatk)=9 ii) vecr.(hati+2hatj-hatk)=6 and vecr.(2hati-hatj-hatk)+3=0

Find the value of lambda for which the given planes are perpendicular to the each other: i) vecr.(2hati-hatj-lambdak)=7 and vecr.(3hati+2hatj+2hatk)=9 ii) vecr.(lambdahati+2hatj+3hatk)=5 and vecr.(hati+2hatj-7hatk)+11=0

Find the angles between the planes vecr(hati-2hatj-2hatk)=1 and vecr(3hati-6hatj+2hatk)=0

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

Find the angle between the planes. vecr.(hati+hatj+2hatk)=5 and vecr.(2hati-hatj+hatk)=8 .

The angles between the planes vecr.(3hati-6hatj+2hatk)=4 and vecr.(2hati-hatj+2hatk)=3 , is

Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

The plane through the point (-1,-1,-1) nd contasining the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 ,vecr.(hati+2hatk)=0 is (A) vecr.(hati+2hatj-3hatk)=0 (B) vecr.(hati+4hatj+hatk)=0 (C) vecr.(hati+5hatj-5hatk)=0 (D) vecr.(hati+hatj+3hatk)=0

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4

The line of intersection of the planes vecr . (3 hati - hatj + hatk) =1 and vecr. (hati+ 4 hatj -2 hatk)=2 is: