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z-1-4-3i-z-2-9-2i-Find-a-z-1-oz-2-b-z-1-z-2-c-angle-between-z-1-and-z-2-




Question Number 25823 by ajfour last updated on 15/Dec/17
z_1 =4−3i  z_2 =9+2i  Find  (a) z_1 oz_2                (b) z_1 ×z_2                 (c) angle between z_1 and z_2 .
$${z}_{\mathrm{1}} =\mathrm{4}−\mathrm{3}{i} \\ $$$${z}_{\mathrm{2}} =\mathrm{9}+\mathrm{2}{i} \\ $$$${Find}\:\:\left({a}\right)\:{z}_{\mathrm{1}} {oz}_{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\left({b}\right)\:{z}_{\mathrm{1}} ×{z}_{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({c}\right)\:{angle}\:{between}\:{z}_{\mathrm{1}} {and}\:{z}_{\mathrm{2}} . \\ $$
Commented by ajfour last updated on 16/Dec/17
if by  z_1 oz_2  it is meant dot  product of z_1  and z_2  .
$${if}\:{by}\:\:{z}_{\mathrm{1}} {oz}_{\mathrm{2}} \:{it}\:{is}\:{meant}\:{dot} \\ $$$${product}\:{of}\:{z}_{\mathrm{1}} \:{and}\:{z}_{\mathrm{2}} \:. \\ $$

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