Question

I have a trick question for you, and a medal if you answer it right

What two vectors have a dot product equal to e^(ix)?

Answer 1

1,0 and a,k will dot to: a

Answer 2

ix = 9 if my roman numeral classes are remembered correctly

Answer 3

Hahaha clever, but not what I was looking for. If no one gives a better answer you have it. Also, I should mention:

Both vectors are not the same vector, they both have a length of 1, but neither of them have an entry that is 0 or e^(ix).

Answer 4

\[|a||b|~cos\alpha=a\cdot b\]
\[|a||b|~cos\alpha=e^{ix}\]
if a and b are unit length for simplicity
\[cos\alpha=e^{ix}\]

Answer 5

e^(ix) seem to recall a trig definition for imaginary e stuff

Answer 6

what about
(cosx , sinx) and (1,i)
?

Answer 7

Yeah haha that's it, not really that tricky unfortunately.

Answer 8

You threw me off >:(
(1,i) doesn't have unit length

Answer 9

Yeah you're totally right, and I'm totally wrong haha.

Answer 10

^^_
oh well

Answer 11

(1+i)(1-i)=1+1=2 != 1 what am I doing with my life, I don't even know.