Some important notes on complex mode and modulas,argument determination

Model : CASIO fx-570MS, CASIO fx-991MS, CASIO  fx-100MS

Note 1: Expression can be stored in CALC memory in complex mode.

Note 2: Variables A,B,C and M can be used in COMPLEX mode. Variables D,E,F,X,Y won't appear in COMPLEX mode.

Note  3: The indicator R↔I in the upper right corner of a calculation result display indicates a complex number result.

Note 4: Direct calculation of (a+ib)ⁿ will show mathematical error.

Example: Compute modulas and argument of the complex number -3+2i. (Ans: 3.606 and 146.31 Degree)

Solution:

(Mode initialization)

How to determine unit vector perpendicular to two coplaner vectors and angle between two vectors

Model : CASIO fx-570MS, CASIO fx-991MS

If you have read the previous post on Determination of Cross Product and Absolute Value of a vector. then determination of angle and unit vector in calculator would be very easy.In order to determine unit vector, cross product of two vector has to be divided with the value of cross product.Again in order to determine angle between two vector, dot product of two vector has to be divided with the value of dot product.The formulas are as follows..

unit vector ẑ = (A*B) / |A*B|
angle θ = (A.B) / AB

How to work with complex numbers in calculator

Model : CASIO fx-570MS, CASIO fx-991MS, CASIO  fx-100MS

The number that has a negative square value is called a complex number. It has a real part and an imaginary part.The imaginary part includes i (=√-1). a+ib is a complex number where a is the real part and ib is the imaginary part.This format is known as rectangular format.Complex numbers are also presented in another format that is known as polar format. r∠θ° is a representation of complex number in polar format.

Example:  Calculate (5+2i)*2∠30°.(Ans: 6.66+8.46i)

Solution:

(Mode initialization)