For what value of a is the vector v=(-2,1,a) perpendicular to the plane z=6x-3y+4?(adsbygoogle = window.adsbygoogle || []).push({});

i looked the book and my teacher's solution they are different so i just want to make sure i did this right.....

Vector v is perpendicular to the plane if it is parallel to the plane’s normal vector. A vector which is normal (= perpendicular) to the plane is n=(6,-3, 4) Hence, v parallel n if their coordinates are proportional, i.e. −2/6=1/3=a/4, therefore a=4/3

can someone correct me if i am wrong?????????????PLZ

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# Homework Help: Vector perpendicular to the plane

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