Yes, in which case the resulting vector is twice the length of the original, pointing in the same direction.
YES
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.
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).
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>
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
To square a vector, you need to multiply each component of the vector by itself and then add up the results. This is also known as finding the magnitude squared of the vector.
No, you cannot directly add two vector quantities unless they are of the same type (e.g., both displacement vectors or velocity vectors). Otherwise, vector addition requires breaking down the vectors into their components and adding corresponding components together.
To add a scalar to a vector, you simply multiply each component of the vector by the scalar and then add the results together to get a new vector. For example, if you have a vector v = [1, 2, 3] and you want to add a scalar 5 to it, you would calculate 5*v = [5, 10, 15].
No.
YES
To find the magnitude of the resultant vector, you can use the Pythagorean theorem. Simply square the x-component, square the y-component, add them together, and then take the square root of the sum. This will give you the magnitude of the resultant vector.
The component method of adding vectors involves breaking down each vector into its horizontal and vertical components. Then, add the horizontal components together to get the resultant horizontal component, and add the vertical components together to get the resultant vertical component. Finally, combine these two resultant components to find the resultant vector.
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.
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).
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.