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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.

Q: How do you add vectors using the component method?

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Use the parallelogram method to add two of the vectors to create a single vector for them;Now use this vector with another of the vectors to be added (using the parallelogram method to create another vector).Repeat until all the vectors have been added.For example, if you have to add V1, V2, V3, V4 do:Used method to add V1 and V2 to result in R1Use method to add R1 and V3 to result in R2Use method to add R2 and V4 to give final resulting vector R.

You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.

Either graphically, or with math. Graphically: Put them one after another, head to tail. With math: Each component must be separated into components. Add the components separately, for example, the x-component and the y-component.

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)

yes, as long as they have 120 degrees separating them from each other, (360/3). all vectors must have total x and y component values of 0.

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Use the parallelogram method to add two of the vectors to create a single vector for them;Now use this vector with another of the vectors to be added (using the parallelogram method to create another vector).Repeat until all the vectors have been added.For example, if you have to add V1, V2, V3, V4 do:Used method to add V1 and V2 to result in R1Use method to add R1 and V3 to result in R2Use method to add R2 and V4 to give final resulting vector R.

No, it is simpler than that. Simply add the two magnitudes. The direction will be the same as the parallel vectors.

it depends on the method of subtraction. If the vectors are drawn graphically then you must add the negative of the second vector (same magnitude, different direction) tail to tip with the first vector. If the drawing is to scale, then the resultant vector is the difference. If you are subtracting two vectors <x1, y1> - <x2, y2> then you can subtract them component by component just like scalars. The same rules apply to 3-dimensional vectors

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.

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.

You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.

Either graphically, or with math. Graphically: Put them one after another, head to tail. With math: Each component must be separated into components. Add the components separately, for example, the x-component and the y-component.

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)

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.

yes, as long as they have 120 degrees separating them from each other, (360/3). all vectors must have total x and y component values of 0.

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.

No matter what the angles are:* Express the vectors in Cartesian (rectangular) coordinates; in two dimensions, this would usually mean separating them into an x-component and a y-component. * Add the components of all the vectors. For example, the x-component of the resultant vector will be the sum of the x-components of all the other vectors. * If you so wish (or the teacher so wishes!), convert the resulting vector back into polar coordinates (i.e., distance and direction).