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 | 1 | initial version | posted 2014-07-01 18:57:19 -0600  |
I don't exactly consider this an answer, but just wanted to share some thoughts and pose some more questions.
I approached this problem exactly as asmith14 did, setting the dot product of the two equal to zero. I also came up with the same answers as him/her:
$$t = \frac{-1\pm\sqrt{-3}}{2}$$
Couldn't this also be written as:
$$t = \frac{-1\pm i \sqrt{3}}{2}$$
Does this mean that there are 2 vectors that are perpendicular to $\langle1,1,1\rangle$?
Does this also mean that the perpendicular vectors would be in the complex plane? I don't remember enough about complex numbers to know if this is right...
| | 2 | No.2 Revision |
I don't exactly consider this an answer, but just wanted to share some thoughts and pose some more questions.
I approached this problem exactly as asmith14 did, setting the dot product of the two equal to zero. I also came up with the same answers as him/her:
$$t = \frac{-1\pm\sqrt{-3}}{2}$$
Couldn't this also be written as:
$$t = \frac{-1\pm i \sqrt{3}}{2}$$
Does this mean that there are 2 vectors that are perpendicular to $\langle1,1,1\rangle$?
Does this also mean that the perpendicular vectors would be in the complex plane? I don't remember enough about complex numbers to know if this is right...
Comment Justin, I tend to agree with you, a vector in the complex plain is one thing to consider, but in this case it makes a value of t a complex number...and correct me if I am wrong but isn't the complex plane just a way to represent the complex numbers? I don't know, it is a lot to consider...Thanks askbot!
