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A vector has both a magnitude and a direction. To add vectors, you graphically put them head-to-tail; or, to do it with math, separate the vector into x and y components, and add the two components separately. Or more than two components, depending on the number of dimensions used.

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Q: What is the difference between vector and algebraic sums?
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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).


How do vectors add?

Just add their magnitudes. The combined vector will have the same direction as the original vectors.Just add their magnitudes. The combined vector will have the same direction as the original vectors.Just add their magnitudes. The combined vector will have the same direction as the original vectors.Just add their magnitudes. The combined vector will have the same direction as the original vectors.


A rule of nature that sums up related observations and experimental results is?

Scientific Law. If your doing this for a paper for school, I feel you.


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.


What dose the law of conservation of energy explain?

The law of conservation of energy simply means that energy cannot be created or destroyed simply changed. For example: Throwing the ball into the air: Potential ENERGY --->Kinetic energy ---> Gravatational Potential energy .

Related questions

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 4 5 6 plus 15 3 8?

As vector sums, the answer is 19 8 14


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 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


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


Carbon tetrabromide non-polar bond?

I think the original post is confused about the question. Any covalent bond is polar if there is a significant difference between the electronegativities of the elements participating in the bond. In this case bromine and carbon are significantly different in their electronegativities to justify calling the C-Br bond polar. I think this is where the confusion arises. A compound is considered polar if the vector sum of its constituent covalent bonds is realatively large (the definition is somewhat subjective). Normally, one would say one compound is more polar than another compound by comparing their respective vector sums. In the case of CBr4, each bond is polar, but the vector sum of the 4 dipoles is zero. Any compound whose vector sum is zero is non-polar.