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nickymarden
 3 years ago
find a vector c knowing that that c is perpendicular to the vectors a=i2j+3k , b= 2i3j+k and c.(i+2j7k)=100.
nickymarden
 3 years ago
find a vector c knowing that that c is perpendicular to the vectors a=i2j+3k , b= 2i3j+k and c.(i+2j7k)=100.

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TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.2let \[\vec c=x\hat i+y\hat j+z\hat k\]from last time hopefully you remember that the dot product of two perpendicular vectors is zero, so we have that\[\vec a\cdot\vec c=0\]\[\vec b\cdot\vec c=0\]and\[\vec c\cdot(\hat i+2\hat j7\hat k)=100\]3 equations with 3 unknowns you will get a system that can be solved for x, y, and z

nickymarden
 3 years ago
Best ResponseYou've already chosen the best response.1yup, did it like that :P I'm only checking if i did it right :)

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.2well it looks like you did then :)
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