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What is the effect of increasing the angel between two vectors to be added on magnitude of their resultant?

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Resultant of addition of two vectors A and B is calculated as the square root of (square of A + square of B + 2AB cosx) where x is the angle between the two vectors.

If the angle between the vectors increases, we need to keep in mind the behaviour of cos for different values of x. The resultant be maximum for x=0 and continue to decrease till x=180 but will again increase to a max value for x=360; the same as for x=0.

Posted on Feb 12, 2009


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You do have many math questions. If you expect us to do your homework for you, you should post under an appropriate category. I started this morning answering this question with time-consuming diagrams but did not finish and did not post the answer. During the day I tried to locate your question but for the longest time could not until I launched an all Google search over the Internet and found it. Why should anybody go through all this grief to help you? Well I just did not want my previous work to go to waste.
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OACB is a parallelogram. R is the resultant.
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Your Question :
My Answer ::
In scalar multiplication we are considering only logical values and doing multiplication but here we are taking care of the direction of the force magnitude of the force applied to the body for the perfect accurate value which helps in making of the real world application.

here scalar values will not work for making any real thing, So in your question cos (a,b) suggests the resultant direction of the resultant force and |a||b| are the magnitude.

For more details on vector multiplication ::

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