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What is a projection of a vector along an axis of a coordinate system called?
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What are the two vectors projected on the axes of a coordinate system?
If you have a vector of magnitude r, making an angle of a degrees, then its projection on the x-axis is r*cos(a) and on the y-axis it is r*sin(a).
How do you find the direction of the vector?
I suspect the question arises from confusion. A vector itself already defines a direction, usually in the Cartesian xyz coordinate system. If you want to express the direction in other coordinates, such as polar or spherical coordinates you need to transform the vector to these coordinate systems. I can answer you question more fully if you can specify the specific coordinate system in which you want to know the direction.
When will be the vector projection and vector components are same?
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
If you have selected a coordinate system you can express a two-dimensional vector using a pair of quantities known collectivelly as?
Components.
Ten vectors addtogether to give zero resultant it is possible that nine of this vectors are in the same plane but the tenth not on this plane?
No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.
What are the projections of a vector along the axes of a coordinate system?
A tangent of the vector is the projection of a vector along the axes of a coordinate system.
The components of a vector will be the same no matter what coordinate system is used to express that vector?
No. The components of a vector will change based on what coordinate system is used to express that vector.
What are the two vectors projected on the axes of a coordinate system?
If you have a vector of magnitude r, making an angle of a degrees, then its projection on the x-axis is r*cos(a) and on the y-axis it is r*sin(a).
What is necessary in order to show the correct direction of a vector?
I coordinate system.
Is there only one unique coordinate system in which vector components can be added?
No
How do you find the direction of the vector?
I suspect the question arises from confusion. A vector itself already defines a direction, usually in the Cartesian xyz coordinate system. If you want to express the direction in other coordinates, such as polar or spherical coordinates you need to transform the vector to these coordinate systems. I can answer you question more fully if you can specify the specific coordinate system in which you want to know the direction.
When will be the vector projection and vector components are same?
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
If you have selected a coordinate system you can express a two-dimensional vector using a pair of quantities known collectivelly as?
Components.
Is momentum a scalar quality?
A vector quantity is one which transforms like the coordinates. In other words, if a coordinate system is transformed by an operator , any vector quantity in the old coordinate system can be transformed to its equivalent in the new system by the same operator. An example of a vector quantity is displacement (r). If displacement is a vector, the rate of change of displacement (dr/dt) or the velocity is also a vector. The mass of an object (M) is a scalar quantity. Multiplying a vector by a scalar yields a vector. So momentum, which is the mass multiplied by velocity, is also a vector. Momentum too transforms like the coordinates, much like any other vector. The definition of a vector as a quantity having "magnitude and direction" is simply wrong. For example, electric current has "magnitude and direction", but is a scalar and not a vector.
Ten vectors addtogether to give zero resultant it is possible that nine of this vectors are in the same plane but the tenth not on this plane?
No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.
When you resolve a vector and what do you get?
You get other vectors, usually perpendicular to each other, that - when added together - result in the original vector. These component vectors are usually along the axes of some selected coordinate system.
Dot product of unit vectors of cartesian and cylindrical coordinate system?
Unit vectors are perpendicular. Their dot product is zero. That means that no unit vector has any component that is parallel to another unit vector.
