Finding a perpendicular vector?

[dw220]

Hi guys, need some help with this question? Not to sure what rule this would come under.

A vector perpendicular to i-j+3k is?


Thanks

 

[pka]

Hi guys, need some help with this question? Not to sure what rule this would come under.
A vector perpendicular to i-j+3k is?

There are infinity many correct answer.

Any three numbers $\displaystyle a,~b,~c$ such that $\displaystyle a-b+3c=0$ gives a correct answer: $\displaystyle <a,b,c>$.

Such as $\displaystyle <1,1,0>$

 

[Deleted member 4993]

Hi guys, need some help with this question? Not to sure what rule this would come under.

A vector perpendicular to i-j+3k is?


Thanks

Assume the perpendicular vector is v = ai + bj + ck

Then the dot product of (ai + bj + ck) . (1i - j + 3k) = 0

then

a - b + 3c = 0

 

[HallsofIvy]

There are, of course, an entire plane of vectors, of any length, and any angle in that plane that will be perpendicular to the given vector.