Question

Please step by step determine if the two planes are parallel. If parallel, find the distance between these planes x+y+z=1 x+y+z= -1

Answer 1

E Quefsing: x+y+z=1 t aty +2=r1 - o Plone plone Nor Normal distance to the plone Ax+By+cz+d=0 foomi a poring (Bus teh. Za] is given by A2+BY & Critd , Distance = A2+ B2 + 2 ③ Now. Consider a plone 12434z=1) put nEO ; yoo O fot2=1 21 Hence pornst Plone Joy ,2)=(0,01) 18 leis one the

the Hence: No find the Normal distance from point (2,9, Z, )=(0,0,1) to the plone (x+3+2=-1) defftance = / AntBy, te zotd / V A2A.B2fc2 here Az 1,8=1, C=1,ds, 2,5 0,9;=", Zi dig sonce dijete = 1 = lototiti / - (BArgan 12+12+12 > Anzue