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How do vectors add?

Updated: 8/11/2023
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12y ago

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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.

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14y ago
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13y ago

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!!

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12y ago

You can add them graphically, by drawing them head-to-tail.

You can also add them mathematically. Separate the vector into components, then add the components. Most scientific calculators have the possibility to change vectors from polar to rectangular coordinates, and from rectangular to polar coordinates. Polar to rectangular is used to separate a vector into components. Check your calculator's manual.

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14y ago

The same way you add any number of vectors.

Add the first two, then add the next one at a time until you are finished.

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14y ago

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

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You can graphically add the vectors together without resolving them. However to mathematically add them they need to be resolved to find the new direction.


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Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?

Two vectors with unequal magnitudes can't add to zero, but three or more can.

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Can you add equal vectors?

Yes, you can add vectors of equal length. Make sure they are equal by both of them having the same magnitude and direction. Otherwise, you can add equal vectors.


Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?

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To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)AnswerResolve both of the planes displacement vectors into x and y components and then add the components


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Is it possible the add a vector and scalar?

no!!!only scalars and scalars and only vectors and vectors can be added.


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How do you solve for the net force?

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How do you add vectors using the component method?

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