Yes, in which case the resulting vector is twice the length of the original, pointing in the same direction.
YES
Just add each of the corresponding components - the first component with the first component, the second component with the second component, etc. Here is an example. A = (5, 7), B = (-3, 2). Adding each component, you get: A + B = (5 + (-3), 7 + 2) = (2, 9).
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
Notation in which you express the x component as i and the y component as j, and you add them. Ex. V (4,5) --> V (4i + 5j)
If a vector is given in component form <x1,y1> and <x2,y2>, then you add or subtract the corresponding components. <x1,y1>+<x2,y2>=<x1+x2,y1+y2>
there are two simple methods to add vector. 1. head to tail rule. 2.by rectangular component method.
No.
YES
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Just add each of the corresponding components - the first component with the first component, the second component with the second component, etc. Here is an example. A = (5, 7), B = (-3, 2). Adding each component, you get: A + B = (5 + (-3), 7 + 2) = (2, 9).
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
Notation in which you express the x component as i and the y component as j, and you add them. Ex. V (4,5) --> V (4i + 5j)
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.
If a vector is given in component form <x1,y1> and <x2,y2>, then you add or subtract the corresponding components. <x1,y1>+<x2,y2>=<x1+x2,y1+y2>
Two methods can be used for vector addition. (1) Graphically. Place the vectors head-to-tail, without changing their direction or size. (2) Analytically, that is, mathematically. Add the x-component and the y-component separately. The z-component too, if the vectors are in three dimensions.
no!!!only scalars and scalars and only vectors and vectors can be added.
You can add vectors graphically, by drawing them head-to-tail. Algebraically, you can separate them into components (for example, in two dimensions, the horizontal and the vertical component), then add those.