0
When two complex numbers are added together their sum can BEST be represented by which geometric figure?
Wiki User
∙ 9y ago
A triangle, with one of the complex numbers represented by a line from the origin to the number, and then move from that point up and over the amount of the next complex number. Then draw a line segment from the origin to the final point.
Wiki User
∙ 8y ago
Eunice Beya. M
Add your answer:
Earn +20 pts
What is the exponential form of complex numbers?
Complex numbers can be represented as reiƟ, where r is the distance from the origin, and Ɵ is the angle (in radians) with the positive real-axis (horizontal axis).
What is complex math?
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
What is commutative property of addition using decimal numbers?
The commutative property of addition applies to all real and complex numbers. It has nothing whatsoever to do with the form in which the number is represented: decimal, binary, etc.
The sum of two complex numbers is always a complex number?
A "complex number" is a number of the form a+bi, where a and b are both real numbers and i is the principal square root of -1. Since b can be equal to 0, you see that the real numbers are a subset of the complex numbers. Similarly, since a can be zero, the imaginary numbers are a subset of the complex numbers. So let's take two complex numbers: a+bi and c+di (where a, b, c, and d are real). We add them together and we get: (a+c) + (b+d)i The sum of two real numbers is always real, so a+c is a real number and b+d is a real number, so the sum of two complex numbers is a complex number. What you may really be wondering is whether the sum of two non-real complex numbers can ever be a real number. The answer is yes: (3+2i) + (5-2i) = 8. In fact, the complex numbers form an algebraic field. The sum, difference, product, and quotient of any two complex numbers (except division by 0) is a complex number (keeping in mind the special case that both real and imaginary numbers are a subset of the complex numbers).
Applications and use of complex numbers in engineering?
Any physical motion which is periodic, such as an oscillating beam, string, wire, pendulum, electronic signal, or electromagnetic wave can be represented by a complex number function. This can make calculations with the various components simpler than with real numbers and sines and cosines.
What are numbers expressed in the decimal system?
All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.
What are considered complex numbers?
A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.
How do you get the geometric mean of two numbers?
you add both of the two numbers together then divide the added number by the quantities of the items, in this case Two numbers and get the result. * * * * * The above is the arithmetic mean, which is quite different from the geometric mean. To get the geometric mean of n positive numbers, you multiply (not add) them together and take the nth root of the answer.
How do you find the geometric mean of a pair of numbers?
Multiply the two numbers together and take their square root.
Rational and irrational numbers are complex numbers?
Rational and irrational numbers are real numbers. A complex number is represented by a+bi where a and b are real numbers. Zero is a real number therefore any real number is also complex whenever b=0
What is the exponential form of complex numbers?
Complex numbers can be represented as reiƟ, where r is the distance from the origin, and Ɵ is the angle (in radians) with the positive real-axis (horizontal axis).
What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
What is the geometric mean of 7 and 8?
To calculate the geometric mean multiply the numbers together and take the nth root (where n is the number of numbers). geometric mean of 8 & 7 is: √(8 x 7) = √56 ~= 7.48
How do you get the mean of the number?
you add both of the two numbers together then divide the added number by the quantities of the items, in this case Two numbers and get the result. * * * * * The above is the arithmetic mean, which is quite different from the geometric mean. To get the geometric mean of n positive numbers, you multiply (not add) them together and take the nth root of the answer.
What is a real number represented by?
The set of real numbers is represented by a fancy script "R". However, real numbers are just represented by a number (be it integer, rational, irrational, or otherwise). The key here is that it is not a complex number (number containing the imaginary number "i").
What is the geometric mean of 3 and 15?
Just use the definition of geometric mean. Multiply all the numbers together, then take the square root. (In this case, it is the square, or second, root, because there are two numbers; for the geometric mean of three numbers, you take the cubic root, etc.)
What do imaginary numbers represent?
The real numbers together with the imaginary numbers form a sort of vector. What these complex numbers (complex means the combination of real and imaginary numbers) represent depends on the specific situation. Just as there are situations where it doesn't make sense to use negative numbers, or fractional numbers, in many common situations it doesn't make sense to use complex numbers. In an electrical circuit (specifically, AC), the real numbers might represent resistance, while the imaginary number represent reactance - and voltages and currents are also represented by complex numbers, with the angle of the complex number representing how much one quantity is ahead or behind another quantity (the "phase angle"). In quantum mechanics, the complex numbers might not represent anything (perhaps they don't, I am not sure...), but they are useful for calculations.
