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If the points corresponding to complex numbers 3 + I and 2 + 3I in the complex plane are p and Q respectively, the complex number corresponding to vector PQ is () A. 5+4iB. 1-2iC. -1+2iD. 1+2i
The corresponding points of ∵ complex number 3 + I and 2 + 3I in the complex plane are p, Q, respectively. The corresponding points of ∵ complex number 3 + I are p (3,1), and the corresponding points of complex number 2 + 3I are Q (2,3), ∵ PQ = (- 1,2). According to the one-to-one correspondence between complex number and vector, the corresponding complex number of ∵ vector PQ is - 1 + 2I
RELATED INFORMATIONS
- 1. Is it wrong or correct that the complex number represented by a vector remains unchanged after the translation of the vector? For example, I read a sentence in a book that "no matter where the vector is translated, the complex number it represents is the same". I don't understand it. For example, the complex number represented by the vector (1,1) is 1 + I. after the vector is translated 2 units along the X axis, the complex number it represents should be 3 + I. how can it remain unchanged?
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- 6. Why do we set z = cos α + sin β I in some high school plural questions, and if | Z-2 | = 2, why set 2 + cos α + sin α I QAQ, the concept is a little vague,
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