Q: Is it possible to add any 2 vectors?

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The angle between 2 vectors can have any value.

In order to subtract (or add vectors), you must define your frame of reference. Vectors have magnitude and direction. so they are define on an x, y, and z axis. Once the vector is referenece by it's x-y-z components (either positive or negative), then you add/subtract them just like any other number. example v1= 3x + 5y + 5z and v2=2x+3y + 2z so, V1-V2= (3-2)x + (5-3)y + (5-2)z, which reduces to x+2y+3z

With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.

If the two vectors are directly opposite each other, then subtract the smaller one from the larger one and that will be your resultant force. For example, if the force downwards is 5 N and the force upwards is 2 N, the resultant force is 3 N downwards. If the one or both of the two vectors are angled, you need to replace the angled vectors with two right-angled vectors and then add those to create the resultant vectors.

a resultant vector

Related questions

The angle between 2 vectors can have any value.

1) Separate the vectors into components (if they are not already expressed as components). 2) Add each of the components separately. 3) If required, convert the vectors back to some other form. For twodimensional vectors, that would polar form.

Of course it is! for example, [1, √3] + [-2, 0] + [1, - √3 ] = [0, 0]. Like this example, all other sets of such vectors will form an equilateral triangle on the graph.. Actually connecting the endpoints of the 3 vectors forms the equilateral triangle. The vectors are actually 120° apart.

No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)

Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.

Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0

1) Graphically. Move one of the vectors (without rotating it) so that its tail coincides with the head of the other vector. 2) Analytically (mathematically), by adding components. For example, in two dimensions, separate each vector into an x-component and a y-component, and add the components of the different vectors.

Sure, if the two vectors point in the same direction.When we need the sum of magnitudes of two vectors we simply add the magnitudes, but to get the magnitude of the sum of these two vectors we need to add the vectors geometrically.Formula to find magnitude of the sum of these two vectors is sqrt[ |A|2 +|B|2 +2*|A|*|B|*cos(z) ] where |A| and |B| are magnitudes of two A and B vectors, and z is the angle between the two vectors.Clearly, magnitude of sum of two vectors is less than sum of magnitudes(|A| + |B|) for all cases except when cos(z)=1(for which it becomes = |A| + |B| ). Cos(z)=1 when z=0, i.e. the vectors are in the same direction(angle between them is 0).Also if we consider addition of two null vectors then their sum is zero in both ways of addition.So, we get two caseswhen the two vectors are in same direction, andwhen the two vectors are null vectors.In all other cases sum of magnitudes is greater than magnitude of the sum of two vectors.

In order to subtract (or add vectors), you must define your frame of reference. Vectors have magnitude and direction. so they are define on an x, y, and z axis. Once the vector is referenece by it's x-y-z components (either positive or negative), then you add/subtract them just like any other number. example v1= 3x + 5y + 5z and v2=2x+3y + 2z so, V1-V2= (3-2)x + (5-3)y + (5-2)z, which reduces to x+2y+3z

ma0!

The term collinear is used to describe vectors which are scalar multiples of one another (they are parallel; can have different magnitudes in the same or opposite direction). The term coplanar is used to describe vectors in at least 3-space. Coplanar vectors are three or more vectors that lie in the same plane (any 2-D flat surface).

A vector has 2 components - it's magnitude and direction. Concurrent vectors are 2 vectors that have the same direction but may have different magnitudes.