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    2023-01-12T16:07:43+00:00

    In Which Quadrant Is The Number 6 – 8I Located On The Complex Plane?

    Introduction

    Have you ever wanted to know where the number 6-8i is located on the complex plane? If so, you’ve come to the right place. The complex plane is a way of visualizing numbers in terms of their real and imaginary parts. It’s used to graphically represent complex numbers as points on a two-dimensional surface, which can help us better understand how they interact with each other. In this blog post, we will take a look at exactly what quadrant the number 6-8i is located in on the complex plane, and why it matters.

    The complex plane

    The complex plane is a two-dimensional coordinate system in which the real part and the imaginary part of a complex number are represented by orthogonal axes. The point at which these two axes intersect is called the origin, and the distance from the origin to any other point on the plane is called the modulus or magnitude of the complex number. The angle between the real axis and the line joining the origin to any other point on the plane is called the argument or phase of the complex number.

    The four quadrants

    On the complex plane, the four quadrants are often referred to as the Argand plane. In each quadrant, the x-axis is represented by a real number line and the y-axis is represented by an imaginary number line. The origin (0,0) is located in the center of the plane.

    The first quadrant is located in the upper right hand corner of the plane. It is often referred to as the positive real axis because all numbers in this quadrant are positive real numbers. The second quadrant is located in the upper left hand corner of the plane. It is often referred to as the negative real axis because all numbers in this quadrant are negative real numbers.

    The third quadrant is located in the lower left hand corner of the plane. It is often referred to as the imaginary axis because all numbers in this quadrant are imaginary numbers. The fourth quadrant is located in the lower right hand corner of the plane. It is sometimes referred to as the complex axis because it contains both real and imaginary numbers.

    Where is the number 6 – 8i located?

    The number 6 – 8i is located in the fourth quadrant of the complex plane. This can be seen by looking at the real and imaginary components of the number. The real component, 6, is positive and the imaginary component, – 8i, is negative. This means that the number is located in the fourth quadrant.

    Conclusion

    To conclude, the complex number 6-8i is located in the third quadrant of the complex plane. This means that it has a negative real part and a negative imaginary part. While this may seem daunting to understand at first, with practice and understanding of complex numbers you will find it much easier to plot them on the complex plane. Hopefully this article has helped clear up any confusion about where 6-8i lies on the complex plane so that you can better understand how these numbers are placed in relation to each other!

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