when the vectors are not all pointing in the same direction
You need two equations to use the addition method.
The magnitude alone can't tell you anything about its components. You also need to know its direction.
It depends on what other information you are given. If you are given the x-component and the angle, then you can still use trig by doing the following. Tan(angle)=y/x If you do not have the x component, then you will need to use other kinematic equations to find the answer. The different ways to find this information are too numerous to list out, but I will give an example of a common one. If you are given the horizontal distance and time the object flies, use d=vt to find the x component of velocity, then use the first strategy.
Divide the vectors into horizontal and vertical components (or components in three dimensions). Add the components together for the different vectors. Convert the resultant vector back to polar coordinates, if need be. Note: Most scientific calculators have a special function to convert from polar coordinates (distance and angle) to rectangular coordinates (x and y coordinates), and back. If your calculator has such a function, using it will save you a lot of work.
Direction and magnitude.
If you wish to add the vectors, then the component parts must be added. For example if one vector is 3i + 2j - 4k, (i j & k are orthogonal direction vectors in the x y and z directions respectively), and say another vector is 2i + 8k {nothing in the j direction}, you would need to add the components individually.So in this example the new i component is (3 + 2)i = 5i and the new j component is (2 + 0)j = 2j, and the new k component is (-4 + 8)k = 4k. The vector sum of those two vectors is 5i + 2j + 4k.
In physics, "velocity" is defined as a vector. That means that you either need to know:The magnitude of the velocity and the direction, orThe vector's components. For example, in two dimensions, you would need the x-component and the y-component.
It's not. Cos(Θ) only gives you the x-component of a vector. In order to find its y-component, you also need to use sin(Θ).
You need two equations to use the addition method.
The component form of a vector lists the horizontal and vertical change from the initial point to the terminal point. * * * * * The axes need not be perpendicular to one another. They just need to be non-parallel.
Three - one for each dimension of space. Or four, if you need a time component as well.
I need the answer of this question plz!!
Select two axes in a 2-d plane along which you want the vector components (3 axes in 3-d and so on). The axes must meet at a point, but need not be perpendicular.In 2-d, draw a parallelogram so that its diagonal is the given vector and the adjacent sides are parallel to the axes. These adjacent sides will represent the components of the vector.If the axes are at right angles and the vector Vmakes an angle t with the positive horizontal axis, thenhorizontal component = V*costandvertical component = V*sint
The magnitude alone can't tell you anything about its components. You also need to know its direction.
It has the role of the identity element - same as, in the case of real numbers, the zero for addition, and the one for multiplication.
It depends on what other information you are given. If you are given the x-component and the angle, then you can still use trig by doing the following. Tan(angle)=y/x If you do not have the x component, then you will need to use other kinematic equations to find the answer. The different ways to find this information are too numerous to list out, but I will give an example of a common one. If you are given the horizontal distance and time the object flies, use d=vt to find the x component of velocity, then use the first strategy.
You need the magnitude and the distance for defining the vector quantity