Question about Casio FX-115ES Scientific Calculator

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Is there an easy way to use vector mode to find the magnitude of a vector? I know you can just take the square root of the sum of the component squares, but it would be nice to have a shortcut.

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  • mknighto Oct 08, 2010

    I'm rarely dealing with complex numbers. Is there a way to get the magnitude of a vector in R^3?



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If you're dealing with complex numbers, simply switch the view to polar coordinates. The length of the vector is the magnitude of the number. SHIFT MODE down-arrow 3 allows you to select between polar and rectangular coordinates.

Posted on Oct 07, 2010

Testimonial: "Thanks! The suggestion to use the ABS function worked really well!"

  • mknighto Oct 08, 2010

    I rarely work with complex numbers. Is there a way to compute the magnitude of a vector in R^3? (3-D space)?

  • kakima Oct 08, 2010

    In that case, simply use the absolute value function, SHIFT [ABS] (the hyp key). Take a look at #112 in the Appendix for an example. If you've misplaced your appendix (and/or manual), you can download them from



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How do I do math problems estimate roots

To do them it REALLY helps if you remember Perfect will make you quicker at doing these problems.

From this page
I have copied a section below.

For these problems.....
you don't need the exact answer! An approximation is good enough

. Memorize Squares

For all sorts of reasons, you should memorize perfect squares at least up to 12^2 = 144. It helps to know additional round numbers, such as 15^2 = 225 and 25^2 = 625.
Once squares are burned into your memory, estimating square roots is easy. Let's go back to the square root of 39. The nearest perfect squares are 36 and 49, which are squares of 6 and 7, respectively. Thus, the square root of 39 is somewhere between 6 and 7. Since 39 is closer to 36 than to 49, the square root of 39 is closer to 6 than 7.
Sure enough, the square root of 39 is about 6.24. You will never see a problem on the GMAT where you need to know that the square root of 39 is 6.24. But you may well need to know that the square root of 39 is a little bigger than 6.

We all had to learn these at one time.

Give it a go friend :) You won't regret it.later on in life.

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1 Answer

Two forces of 5 N and 12 N respectively act on the same point. show how you would determine the magnitude of the resultant by using the tail-to-head and tail-to-tail methods and pythagoras theromen (13 N)

Draw a vector of length five. From the head of it, draw another vector of length twelve. Now measure the distance from the tail of the first vector to the head of the second.

If the two vectors are at right angles then Pythagoras' theorem applies. Square five to get 25. Square twelve to get 144. Add them to get 169. Take the square root to get 13.

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How to find the hypotenuse

Determine the length of one leg and square it (multiply it by itself). Determine the length of the other leg and square it. Add the two squares together, and take the square root of the sum.


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What is the magnitude of a vector with components (15m , 8m )?

try using my ole favorite alt="image3.png"> its a little variation of Pythagorean theorem but its allways worked for me

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1 Answer


I am willing to bet that if the calculator could talk she would tell you to stop feeding it commands that make no sense. Joking aside, each command has a certain syntax, similar to sentences you make in English: a prescribed order of the components of the sentence.

For some calculators (the older generations) you press a number then the square root key to get the square root. For the newer ones, you press the square root key. The calculator keeps waiting until you enter the radicand, then it calculates the root.
So before using the command you must know in what order to press the key sequence. If you get an error with a certain key order, do the opposite.

Now, why is the calculator giving you a syntax error always?. There could be may reasons.Try a simple addition or a multiplication. If you get a syntax error, it may be due the computational mode. You may be in statistics mode , or some other modes, I cannot begin to guess, because you say nothing about what you were doing when you get the errors.
Try to reset the calculator to get to default computational mode.

May 22, 2012 | Casio Office Equipment & Supplies

1 Answer

How do I calculate the standard deviation on an Aurex Prestige calculator?

standard devition is easy once you get your head around it for grouped data you have to take the equation apart so put in the sum of f then bracket (x-mean) squared and then divide by the sum of f and square root everything on the calculator. And then for non-grouped data you need to do the sum of (x-mean)squared then divided by the sum of n and once again square root everything.
Hope this helps
Good Luck

Nov 11, 2010 | Casio fx-300ES Calculator

1 Answer

Two vectors, 10 and 15 units long, make 60 degrees with each other. Find the magnitude and direction of their resultant with respect to the longer vectors.

A(the longer vector=15units) will have the components on x and y axis. (x=15, y=0)
B(the shortest vector=10units) will have the components(x=5,y=5/sqrt(3))
R = A+B (the sum vector) will have the components (x=20, y=5*sqrt(3)), thus the length of R is 5*sqrt(19) and the angle with respect to A is 23.41deg or arctan(5*sqrt(3)/20) rad. = arctan(sqrt(3)/4)~0.40rad.

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

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.

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