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Well, honey, a vector sum takes into account both the magnitude and direction of the quantities being added, while an algebraic sum just adds up the numbers without caring about which way they're pointing. It's like comparing a GPS giving you directions to a toddler stacking blocks - one's got a sense of purpose, the other's just a hot mess. So, if you want to get somewhere specific, stick with vectors; but if you're just looking to crunch numbers, algebraic sums will do the trick.
What else can I help you with?
Is there a relationship between the sums and the electrical potential across the source?
Yes, there is a relationship between the sums of electrical potential differences in a circuit and the electrical potential across the source. The sum of the potential differences around a closed loop in a circuit equals zero, known as Kirchhoff's Voltage Law. This means that the sum of the potential drops across circuit elements is equal to the potential rise across the power source.
How do vectors add?
To add vector A and vector B: Take the x- and y-components of vectors A and B; to find the components, use trig or the properties of right triangles, or your vectors may be given in coordinate (x,y) form already. Add the x-components and the y-components. The respective sums are the components of the new vector. For example: vector A = (-5, 10), vector B = (1, 2) -5+1= -4 --> x-component of new vector 10+2= 12 --> y-component of new vector Resultant vector = (-4, 12) Different setup: vector A = magnitude 10 at angle 30 degrees off horizontal vector B = magnitude 5 at angle 150 degrees off horizontal A = (10cos30, 10sin30) = (Ax, Ay) B = (5cos150. 5sin150) = (Bx, By) Compute Ax, Ay, Bx, By using calculator or unit circle. Add Ax + Bx = Cx Add Ay + By = Cy New vector coordinates are (Cx, Cy) If you need the magnitude, take sqrt( Cx^2 + Cy^2). For the angle, take arctan( Cy/Cx). There are other setups where the angle is off the vertical- in this case, switch the sin, cos functions to find your components for that vector. My best advice would be to draw the problem, and use what you know about right triangles. Good luck!!
How do you determine the magnitude and the direction of the resultant of nonconcurrent forces?
The resultant (sum) of nonconcurrent forces is given by the Law of Cosines, which is the product of the vector sums and their conjugate: C^2 = (A + B)(A + B)*=(AA* + BB* + AB* + A*B)= (AA* + BB* + 2ABcos(AB)) The angle of C is given by sin (C) =A/C sin(AB) angle(C ) is smaller than the angle between A and B, angle(AB).
What are the necessary conditions of interference of light waves?
They must arrive 180 degrees out of phase. (Waves must be of the same frequency.) In a situation where two identical waves (amplitude and frequency) arrive 180 degrees out of phase, the crests meet the troughs and the troughs meet the crests. The waves effectively "cancel each other out" here, or, as a mechanic might say, the vector sums of the waves total zero. If the waves are not equal in amplitude (but are in frequency), they will at least sum to a minimum energy. Put two speakers 10 to 20 feet apart and point them toward each other. Hook everything up "normally" and walk between the speakers. Then reverse the speakers wires to one speaker. (No, it won't hurt the speakers or the audio system.) Walk between them again. Biiiiiiig difference. Note that this experiment is a 3-dimentional test. Study a bit on the 2-dimentional problem before moving to 3-D. (It's just that this experiment is fun! It makes the phenomenon so real to the observer.) This a problem in what is sometimes called two-point source interference. Use the link to visit a site where drawings are posted. A picture is probably worth a thousand words in this case.
How can multiple objects have a net momentum of zero?
Multiple objects can have a net momentum of zero if their individual momenta cancel each other out. This can happen when objects are moving in opposite directions or when the magnitudes of their momenta are equal but opposite. In this scenario, the total momentum of all the objects in the system sums to zero.
Difference between the sum of the squares and the square of the sums of n numbers?
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
What is algebraic sum?
The term algebraic sum is used when the numbers you are adding include both positive an negative numbers. Ordinary sums are done with positive numbers only.
What is an expression that contains sums or products of variables and numbers?
It is, in fact, called an expression. To be more precise, an algebraic expression.
What is 4 5 6 plus 15 3 8?
As vector sums, the answer is 19 8 14
What is the difference between an annuitant and a beneficiary?
An annuitant is a person who receives regular sums of money that was earned by them. A beneficiary is a person who receives regular sums of money from someone else who has past away and selected them to receive the funds.
What are sums or pairs?
I'm not sure what you are asking. Sums represent either an increase of one quantity by another quantity, or a combination of two quantities. Two of anything is a pair. Did you mean to ask, "What are sums of pairs?" One common use of a pair in mathematics is an ordered pair, such as (2,3). This can represent a coordinate in a graph, or it can represent a vector. If pairs represent a vector, you add the components, so (2,3) + (40,50) = (42, 53).
What happens when resistors are interconnected in a circuit?
The net resistance can be found out using the algebraic sums f series and parallel connections. When there is no current flowing in the circuit the net resistance is infinite.
What is the difference of the sums of 0.58 and 0.23 and 0.062 and 0.74?
(0.58 + 0.23) − (0.062 + 0.74) = 0.008
Difference between Exact interest and Ordinary interest?
Interest that is based on a 360-day year instead of a 365-day year. In contrast, exact interest is based on a 365-day year. If large sums of money are involved, the difference can be significant
What has the author Boris Moishezon written?
Boris Moishezon has written: 'Complex surfaces and connected sums of complex projective planes' -- subject(s): Algebraic Surfaces, Manifolds (Mathematics), Projective planes
How much does the sum of 17.433 and 29.657 exceed the sum of 13.687 and 18.548?
Oh, what a lovely math question we have here! Let's see, the sum of 17.433 and 29.657 is 47.09, and the sum of 13.687 and 18.548 is 32.235. So, the difference between these sums is 14.855. Isn't it wonderful how numbers can come together in such a harmonious way?
What does speed and velocity differ from?
Speed gives you information about how fast something is going (it is scalar), on the other hand velocity is a vector and gives you directional information also, for example if you drive 50 kmph for a few hours from point A to a point B, and return to point A, your velocity is zero since the vector sums are zero
