The method in adding vectors is "add like components to likes".
For example A= Ia1 + Ja2 + Ka3 and B= Ib1 + Jb2 + Kb3 added is :
A+B= I(a1 +b1) + J(a2 + b2) + K(a3 + b3).
I, J and K are the vector components.
Physics really involves vectors V and scalars S called Quaternions Q=S +V.
The method is the same but now likes include vectors and scalars.
Q1 + Q2 = (S1 +S2) + (V1 + V2).
another displacement
by method of finding resultant
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
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analytical method.
You can use the graphical method, which involves drawing vectors on a coordinate system and adding them tip-to-tail to find the resultant vector. Alternatively, you can use the component method, breaking each vector into its horizontal and vertical components and adding them separately to find the resultant vector.
The parallelogram method is a graphical technique used in vector addition. It involves constructing a parallelogram using the two vectors to be added, with the diagonal of the parallelogram representing the resultant vector. The magnitude and direction of the resultant vector can be determined from the properties of the parallelogram.
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.
Vectors can be added using the component method, where you add the corresponding components of the vectors to get the resultant vector. You can also add vectors using the graphical method, where you draw the vectors as arrows and then add them tip-to-tail to find the resultant vector. Additionally, vectors can be added using the trigonometric method, where you use trigonometry to find the magnitude and direction of the resultant vector.
Vector quantities can be added or subtracted geometrically using the head-to-tail method. To add vectors, place the tail of the second vector at the head of the first vector. The sum is the vector that connects the tail of the first vector to the head of the second vector. To subtract vectors, reverse the direction of the vector being subtracted and then add it to the other vector as usual.
Parallelogram method is not that accurate because a mechanical tool such as protractor is used in constructing the angle of a vector or in other words it is only an illustration unlike in analytical method of adding vectors, mathematical computation is used which is more accurate than making an illustration to present vectors.
Draw the vectors to scale with their tails starting at the same point. Complete the polygon by drawing lines connecting the head of each vector in order. The resultant vector is the line from the starting point to the end of the final vector. The magnitude and direction of this resultant vector can be calculated using trigonometry.
another displacement
When drawing a vector using the triangle method you will draw in the resultant vector using Pythagorean theorem. This is taught in physics.
In adding vectors, you can use the head-to-tail method where you place the tail of the second vector at the head of the first vector. Then, the sum is the vector that goes from the tail of the first vector to the head of the second vector. In subtracting vectors, you can add the negative of the vector you are subtracting by using the same method as vector addition.
The resultant of two vectors can be computed analytically from a vector parallelogram by determining the diagonal of the parallelogram. The diagonal represents the resultant vector, which can be found by adding the two vectors tip-to-tail. This method is based on the parallelogram law of vector addition.
When adding vectors using the head-to-tail method, you place the head of the second vector at the tail of the first vector. The resultant vector is drawn from the tail of the first vector to the head of the second vector. This technique preserves both magnitude and direction of the vectors being added.