Maths-

General

Easy

Question

# At the origin of a two-dimensional plane, Sam is standing. He moves two units to the east, and three units to the north. His new position can be defined in complex form as ____

Hint:

**Hint:**

The Argand plane is a plane which is used to represent a complex number in a two-dimensional plane. The argand plane is same as the coordinate plane, and a complex number z = x + iy is plotted as a point (x, y). So, in an argand plane, the y-axis represents the imaginary number axis and the x-axis represents the real number axis.

## The correct answer is: the new position of Sam in the complex form is 2+3i.

### Let’s say the North-South pole represents the imaginary number axis and the East-West pole represents the real number axis.

As per the given instructions in the question, the final position of Sam is given in the following argand plane

We can see that the coordinates of the final position of Sam is F(2,3). So, the complex form of the new position is 2+3i

Final Answer:

Hence, the new position of Sam in the complex form is 2+3i.

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