Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Argument of product is sum of arguments of the multiplicands.

click on the content to continue..

Given `z_1 = a_1+ib_1` and `z_2 = a_2+ib_2` what is the argument of product `text(arg)(z_1 xx z_2)`?

  • `text(arg)z_1 xx text(arg)z_2`
  • `text(arg)z_1 + text(arg)z_2`
  • `text(arg)z_1 + text(arg)z_2`

The answer is '``text(arg)z_1 + text(arg)z_2``'.

Given `z_1 = a_1+ib_1` and `z_2 = a_2+ib_2`, the argument of product
`text(arg)(z_1 xx z_2)`
`quad quad = text(arg)(r_1r_2 e^(i theta_1 + theta_2))`
`quad quad = theta_1 + theta_2`
`quad quad = text(arg)z_1 + text(arg)z_2`

 •  argument of product is sum of arguments.

Argument of Product: For complex numbers `z_1, z_2 in CC`
`text(arg)(z_1 xx z_2) = text(arg)z_1 + text(arg)z_2`

Solved Exercise Problem:

Given `z_1 = a_1+ib_1` and `z_2 = a_2+ib_2`, what is the argument of quotient `text(arg)(z_1 -: z_2)`?

  • `text(arg)z_1 -: text(arg)z_2`
  • `text(arg)z_1 xx text(arg)z_2 `
  • `text(arg)z_1 - text(arg)z_2 `
  • `text(arg)z_1 - text(arg)z_2 `
  • `text(arg)z_1 + text(arg)z_2 `

The answer is '`text(arg)z_1 - text(arg)z_2`'.

slide-show version coming soon