In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients, which is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (over their field of coefficients). In some older texts, the resultant is also called the eliminant.The resultant is widely used in number theory, either directly or through the discriminant, which is essentially the resultant of a polynomial and its derivative. The resultant of two polynomials with rational or polynomial coefficients may be computed efficiently on a computer. It is a basic tool of computer algebra, and is a built-in function of most computer algebra systems. It is used, among others, for cylindrical algebraic decomposition, integration of rational functions and drawing of curves defined by a bivariate polynomial equation.
The resultant of n homogeneous polynomials in n variables (also called multivariate resultant, or Macaulay's resultant for distinguishing it from the usual resultant) is a generalization, introduced by Macaulay, of the usual resultant. It is, with Gröbner bases, one of the main tools of effective elimination theory (elimination theory on computers).
Three forces act simultaneously on point J. One force is 20.0 N north; the second is 20.0 N west; the third is 20.0 N 60° east of north. Determine the magnitude and direction of the resultant force.
I need help with this problem. I know you can figure this out by putting it on a graph and...
--An airplane flies at 300 km/hr with a heading of 35* south of west, as a 78 km/hr wind blows in the direction of 55* south of east. The resultant velocity of the plane is...
--A force of 85 N S50*E, a force of 50 N N45*E, and a force of 70 N N30*W act concurrently on an object. Draw a...
Three forces act simultaneously on point J. One force is 20.0 N north; the second is 20.0 N west; the third is 10.0 N 60° east of north. Determine the magnitude and direction of the resultant force.
QUESTION: The boom DF of the jib crane and the column DE have a uniform weight of 50 lb/ft. If the hoist and load weight 300 lb, determine the resultant internal loadings in the crane on cross sections through points A, B, and C. (Diagram and answers are attached)
I'm just hoping someone...
I have to displacement problems that i can't get right.
While John is traveling along a straight interstate highway, he notices that the mile marker reads 233. John travels until he reaches the 155-mile marker and then retraces his path to the 172-mile marker. What is John's resultant...
Hey guys, boggled again :confused: need some help. And by the way, thanks to everyone who helped out on the last question...much appreciated!
Combine the following two vectors to find the resultant vector.
Vector A = 7.4 units at 30 degrees and Vector B = 11.1 units at 120 degrees
A...
For what reason is a magnetic force vector perpendicular to the magnetic field vector and the velocity vector of a charged particle? I know F=qvBsin and how to compute cross products but why does the force make a particle move in that particular direction? Is relativity involved?
A 60-N force is acting at 30° east of north and a second 60-N force acting in the direction 60° east of north are concurrent forces. Determine the resultant of the forces.
Using the Law of Cosines:
c²=a²+b²-2ab(CosC)
c²=13435.38
c=115.91 N for the magnitude of the resultant
Then...
i was given a graph and was told the find the X and Y components of the 2 vectors (C and D) and their Resultant R. i found the x,y components easily. now do i use the pythagorean theorem to find the resultant of C and D. and is that the answer? thanks ~Dave
(i have a graph, but it was too big...
two forces of 40N each act on something. the angle is 90 degree between the force. what is the magnitude of their resultant. my answer is 40 n. is that correct.
I should slap myself for not picking out what I did wrong but...
500 N are acting 140 degrees, 150 N are acting at 90 degrees and 420 N are acting at 60 degrees. Find the resultant.
the Resultant = (Rx^2 + Ry^2)^(1/2)
The angle of the resultant = arctan(Fy/Fx)
Correct?
Well, Fx =...