1.

Show that the normals to the planes oversettor.(overset^i-overset^j+overset^k)=3and oversettor.(3overset^i+2overset^j-overset^k)=0 are perpendicular to each other.

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Solution :Normals to the GIVEN planes are `oversettoN_(1)=i-j+k` and `oversettoN_2=3i+2j-koversettoN_1.oversettoN_2=1xx3+(-1)(2)+1xx(-1)=0 thereforeoversettoN_1botoversettoN_2i.e.` the normals are PERPENDICULAR to each other.


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