Find the equations of the plane that passes through three points (1,1,0),(1,2,1),(-2,2,-1).

Answer

`(a) (i) 5x - 7y + 11z + 4 =0 `
(ii) 2x + 3y - 3z - 5 = 0
(iii) 2x + 3y + 4z - 5 = 0
(iv) 4x - 3y + 2x = 3
(v) 3x - 4y + 3z - 19 = 0
(vi ) 5x + 2y - 3z - 17 = 0
(vii) 3x - 4y + 4z + 2 = 0.
(viii) 7x + 3y -z = 17.
(c) x + y -z -1 = 0 ;
`cos^(-1)"" ((1)/(sqrt(3))) , cos^(-1)"" ((1)/(sqrt(3))) , pi - cos^(-1) "" ((1)/(sqrt3)))`
(d) `[ vec(r) - (2 hati + 5 hatj - 3 hatk ) ]`.
`[ ( -4 hati - 8 hatj + 8 hatk ) xx (3 hati - 2 hatj ) ] = 0`.