How is the product of a complex number and a real number represented on the complex plane?

Consider the product of 2−4i and 3.

Drag a value or phrase into each ----------- to correctly complete the statements.

The complex number 2−4i has modulus of -------------. When 2−4i is multiplied by 3, the modulus of the product is ----------------.

Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with a real positive number -----------------.

Are opposite each other

sqrt 6

3 sqrt 6

differ by a clockwise rotation of 270 degrees

differ by a counter clockwise rotation of 270 degrees

are the same

6 sqrt 5

2 sqrt 5

6 sqrt 2

2 sqrt 2

Guest Apr 22, 2021