Quaternion type: Difference between revisions

Line 4:

A complex number has a real and complex part written sometimes as <code>a + bi</code>, where a and b stand for real numbers and i stands for the square root of minus 1. An example of a complex number might be <code>-3 + 2i</code>, where the real part, a is -3.0 and the complex part, b is +2.0.

A quaternion has one real part and ''three'' imaginary parts, i, j, and k. A quaternion might be written as <code>a + bi + cj +dk</code>. In this numbering system, <code>ii = jj = kk = ijk = -1</code>. The order of multiplication is important, as, in general, for two quaternions q1 and q2; <code>q1q2 != q2q1</code>. An example of a quaternion might be <code>1 +2i +3j +4k</code>

A quaternion has one real part and ''three'' imaginary parts, i, j, and k. A quaternion might be written as <code>a + bi + cj + dk</code>. In this numbering system, <code>ii = jj = kk = ijk = -1</code>. The order of multiplication is important, as, in general, for two quaternions q1 and q2; <code>q1q2 != q2q1</code>. An example of a quaternion might be <code>1 +2i +3j +4k</code>

There is a list form of notation where just the numbers are shown and the imaginary multipliers i,j, and k are assumed by position. So the example above would be written as (1, 2, 3, 4)

There is a list form of notation where just the numbers are shown and the imaginary multipliers i, j, and k are assumed by position. So the example above would be written as (1, 2, 3, 4)

<br>'''Task Description'''<br>