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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Vector perpendicular to the plane

**Physics Forums | Science Articles, Homework Help, Discussion**