Question about Computers & Internet

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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Posted on Jan 02, 2017

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.

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.

Jan 24, 2014 | USAF Security Forces Shield Decal

The sum is the result of adding two or more things together. The things don't have to be numbers, they can be vectors, matrices, polynomials, or other things.

For the other part of your question, the sum of 838 and 2 is 840.

For the other part of your question, the sum of 838 and 2 is 840.

Jan 19, 2014 | Computers & Internet

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.**

I hope it helps somebody.

OACB is a parallelogram. R is the resultant.

Use the cosine law in the triangle OAC

**R^2=(F_1)^2+(F_2)^2 -2(F_1)(F_2) cos (angle OAC)**

Replace the variables by their known values and reduce your equation to** cos (angle OAC) =-53/112**. Solve for **angle OAC** in degrees

**angle OAC =arccos(-53/112)**. The angle between the two vectors is the **supplementary of angle OAC**

I hope it helps somebody.

OACB is a parallelogram. R is the resultant.

Use the cosine law in the triangle OAC

Replace the variables by their known values and reduce your equation to

Dec 05, 2013 | Western Digital My Book Essential Edition...

Just add the three vectors together. The first vector is 0.0i + 4.0j . The second vector is about 1.4i - 1.4j . The third is about -0.7i - 0.7j .

Adding the three vectors together gives about 0.7i + 1.9j .The exact answer is sqrt(0.5)i + (4.0-3sqrt(0.5))j .

Adding the three vectors together gives about 0.7i + 1.9j .The exact answer is sqrt(0.5)i + (4.0-3sqrt(0.5))j .

Mar 15, 2013 | Camping, Backpacking & Hiking

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

Mar 05, 2013 | K'nex Education Roller Coaster Physics...

This has a lot to do with vectors and pythagoras, try drawing each line and their direction then try to make right triangles and solve with pythagoras.

Hope this helps

Hope this helps

Mar 05, 2011 | Computers & Internet

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.

Oct 07, 2010 | Casio FX-115ES Scientific Calculator

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Sep 15, 2009 | Google AdWords

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.

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.

Jul 11, 2009 | Darda Race Track Physics _

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 :: http://mathworld.wolfram.com/VectorMultiplication.html

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 :: http://mathworld.wolfram.com/VectorMultiplication.html

Sep 20, 2008 | Computers & Internet

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