1.

In the following cases, determine whether the given planes are parallel or perpendicular and in case they are neither, find the angle between them.(i) 2x – y + z = 6 and x + y + 2z = 7(ii) vecr.(hati-hatj+hatk) and vecr.(3hati+2hatj-hatk)-11=0(iii) x + y – 2z = 3 and 2x – 2y + z = 5(iv) 2x – 3y + 4z = 1 and -x + y = 4(v) vecr.(2hati+3hatj-6hatk)=5 and vecr.(hat i - 2 hatj+2hatk)=9

Answer»


ANSWER :(i) `pi/3`
(ii) `pi/2`
(iii) `cos^(-1)((2)/(3sqrt6))`
(IV) `cos^(-1)((5)/(sqrt(58)))`
(v) `cos^(-1)((16)/(21))`


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