Find the acute angle between the following planes:

(i) 2X – y + z = 5 and x + y + 2z = 7


(ii) x + 2y + 2z = 3 and 2x - 3y + 6z = 8


(iii) x + y - z = 4 and x + 2y + z = 9


(iv) x + y - 2z = 6 and 2x - 2y + z = 11


To find angle in Cartesian form, for standard equation of planes



(i)On comparing with the standard equation of planes






(ii)On comparing with the standard equation of planes






(iii) On comparing with standard equation of planes






(iv)On comparing with the standard equation of planes






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