The complex dot product

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Hi
I have a question, can you please help me?
1:42 when dot product vector V and W, the result is 14+16i .
And dot product is equivalent to
length(V)*length(W)*cosine (theta, angle between V and W) = 14+16i.
Because length(V) and length(W) must be real number. so cosine (theta) must be complex number? ( because result is 14+16i)
But if cosine (theta) is complex number, what does that mean?
Thank you

yunfan