general vector code question

i have the student matlab with simulink and I am trying to code in the vector components such as V = [A*i + B*j + C*k]. When i type this the i hat and j hat components are automatically recognized as imaginary units however the k hat is not recognized and therefore i cannot compute my vector. Is there a way to code in so the k hat is recognized as a imaginary unit such as i hat and j hat?

[Ameer Hamza]

i, j, k in vectors are not equivalent to complex numbers. These are basis vectors along x, y, and z-axis. What are you trying to do with this equation? Are you trying to plot something?

[random1072]

trying to make the quaternions q_{1} = [MM, Ai+ Bj+ Ck] and q_{2} = [NN, Di + Ej+ Fk] where A = 7, B = 6, C = 2 , D = 1, E = 6, F = 8, MM = 05, NN = 10.... i dont have the matlab version where i can utilize the quaternion function so not sure how to do this.....after i create the two quaternions i have to add them.

Answer 1

[James Tursa]

MATLAB does not support the i, j, k quaternion "complex" numbers. The i and j in MATLAB are strictly the ordinary imaginary numbers.

To use quaternions, unless you have special class code for this, typically you would just represent them as ordinary 4-tuples. E.g.,

q_1 = [MM;A;B;C]
q_2 = [NN,D,E,F];

Then if you want to add them it is simple addition:

q_sum = q_1 + q_2;

Answer 2

[Nikhil Sonavane]

You may refer the documentation of quaternion for more details.