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when the vectors are not all pointing in the same direction

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Q: When do you need to use component method for vector addition?
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When two or more vectors have different directions combine them by?

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.


Why only cos theta is used in vector functions?

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).


What is 6a - 5b equals 9 using addition method?

You need two equations to use the addition method.


What is a component form?

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.


Which is the component form of the vector that describes the straight path of a vehicle from Scan City to Pottsville?

The component form of a vector is expressed as (x, y, z) where x, y, and z are the distances traveled in the x, y, and z directions respectively. To determine the component form of the vector from Scan City to Pottsville, you would need to know the specific directions and distances traveled in each coordinate axis between the two locations.


What is the difference between vector control and Stator Voltage control method of induction motor?

I need the answer of this question plz!!


How do you graph a vector in component form?

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


How do you find the y-component of a vector if you are given the magnitude?

The magnitude alone can't tell you anything about its components. You also need to know its direction.


Why there is a need of a null vector?

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.


What do need to know to describe the velocity of an object?

To describe the velocity of an object, you need to know its speed (magnitude of velocity) and direction of motion. Velocity is a vector quantity, meaning it has both magnitude and direction. It is typically represented as v = d/t, where v is velocity, d is displacement, and t is time.


What two quantities are needed to get a vector quantity?

To define a vector quantity, you need both magnitude (size or length) and direction. These two quantities together determine the overall displacement or change in position of an object.


When a vector is in space then how many components it has?

A vector in space has 3 components: one for each dimension - x, y, and z. These components represent the magnitude of the vector in each respective direction.