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


Example: If A= 3i-2j+5k and B=i+2j-3k determine unit vector perpendicular to A and B. Also determine the angle between them.(Ans: -0.173i + 0.607k + 0.347k and 133.93 Degree)

Solution:

(Mode initialization)
MODE >> MODE >> MODE >> 3(VCT)

(Input the dimensions and values two vectors)
SHIFT >> 5 >> 1(Dim) >> 1(A) >> 3(dimension m=3 if it is a 3D vector) >> = >> 3(A1) >> = >> - >> 2(A2) >> = >> 5(A3) >> =(Vector A is submitted)

SHIFT >> 5 >> 1(Dim) >> 2(B) >> 3(dimension m=3 if it is a 3D vector) >> = >> 1(B1) >> = >> 2(B2) >> = >>  - >> 3(B3) >> = (Vector B is submitted)

(unit vector)
( >> SHIFT >> 5 >> 3(Vct) >> 1(A) >> * >> SHIFT >> 5 >> 3(Vct) >> 2(B) >> ) >> / >> ( >> SHIFT >> )(Abs) >> SHIFT >> 5 >> 3(Vct) >> 1(A) >> * >> SHIFT >> )(Abs) >> SHIFT >> 5 >> 3(Vct) >> 2(B) >> ) >> = (VctAns1) >> Right of Replay button(VctAns2) >> Right of Replay button(VctAns3)

(Angle)
SHIFT >> cos >> ( >> ( >> SHIFT >> 5 >> 3(Vct) >> 1(A) >> SHIFT >> 5 >> Right of Replay button >> 1(Dot)>> SHIFT >> 5 >> 3(Vct) >> 2(B) >> ) >> / >> ( >> SHIFT >> )(Abs) >> SHIFT >> 5 >> 3(Vct) >> 1(A) >> * >> SHIFT >> )(Abs) >> SHIFT >> 5 >> 3(Vct) >> 2(B) >> ) >> ) >> =