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Vector systems are a branch of mathematics that is used to manipulate measurements that have a value as well as a direction. Common examples are velocity, acceleration, force, etc - measurements involving motion. However, some motion-related measurements are not vectors. Distance, speed are not.
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What vector in a system points in the same direction as the linear momentum vector?
The energy vector, cmV = cP. The energy vector is parallel to the Momentum vector.
What is the maximun no of components into which a vector can be split?
There is no maximum. A vector can be defined for a hyperspace with any number of dimensions. Such a hyperspace can be described using an orthogonal system of axes and the vector can be split into its components along each one of these axes.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
What is meant by a component of a vector?
A component of a vector can be thought of as an "effectiveness" of that vector in a given direction. It's actually a "piece" or "part" of the vector. A vector is a geometric object with the two characteristics of direction and magnitude. It is when we plot these in a coordinate system that we see the components appear. If we draw a graph with the standard x and y coordinates handed down to us from Descartes, we can more easily see the components. On the graph, draw a vector from the origin (0,0) to the point (5,5). We set the origin as the point of initiation of the vector, and the "little arrow" on the "head" or terminus of the vector is at (5,5). But that vector represents the sum of two other vectors. One is the vector from the origin that runs along the x-axis to (5,0) and the other is the vector that runs from the origin along the y-axis to (0,5). As stated, the sum of these other two vectors makes the original vector we drew. And each of these vectors, the x and y vectors we drew, is a component of the vector we are inspecting. The components of vectors can be expanded into a multitude of dimensions, and will be dependent on the system we use to plot them. Wikipedia has some additional information, and a link is provided.
In a 2 - dimensional cartesian coordinate system the y-component of a given vector is equal to the vector magnitude multiplied by which trigonometric function with respect to the angle between vector?
I disagree with the last response. It is implied that the angle you are speaking of is the angle between the x-axis and the vector (this conventionally where the angle of a vector is always measured from). The function you are asking about is the sine function. previous answer: This question is incorrect, first of all you have to tell the angle between vector and what other thing is formed?
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?
Yes, that is correct. The components of a vector, which represent its magnitude and direction in a particular coordinate system, are independent of the choice of coordinate system used to express the vector. This property is a fundamental characteristic of vectors in mathematics and physics.
What vector in a system points in the same direction as the linear momentum vector?
The energy vector, cmV = cP. The energy vector is parallel to the Momentum vector.
What number is the length of a vector?
The length of a vector is a scalar quantity, typically denoted as a positive real number, that represents the magnitude or size of the vector. It is calculated using the vector's components in a coordinate system, often with the Pythagorean theorem.
Is momentum a scalar quality?
No, momentum is a vector quantity because it has both magnitude and direction. It is defined as the product of an object's mass and its velocity, with the direction determined by the direction of the velocity.
What is the direction of zero vector?
The zero vector has no direction because it has a magnitude of zero. It is represented by a point at the origin in a coordinate system, with no specific direction.
Distance Vector protocols use what algorithm?
Distance Vector protocols use the Bellmanâ??Ford algorithm. The ARPANET system relied on Distance Vector protocols as their main routing technique in the early 80s.
What does the length of a position vector represent?
The length of a position vector represents the distance of the point it is referencing from the origin in the coordinate system. It is also known as the magnitude of the vector.
How can you represent vector quantities by using graph?
Vector quantities can be represented graphically by using arrows. The length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. The starting point of the arrow can be placed at the origin of the coordinate system.
What is the maximun no of components into which a vector can be split?
There is no maximum. A vector can be defined for a hyperspace with any number of dimensions. Such a hyperspace can be described using an orthogonal system of axes and the vector can be split into its components along each one of these axes.
What is the difference between resultant and equilibrant vector?
A resultant vector is the single vector that represents the combined effect of multiple vectors. It is obtained by adding together all the individual vectors. An equilibrant vector is a single vector that, when added to the other vectors in the system, produces a net result of zero, effectively balancing out the other vectors.
What is negative vector in physics?
In physics, a negative vector is a vector that points in the opposite direction to a positive vector of the same magnitude. Negative vectors are used to represent quantities or forces that act in the opposite direction within a specific coordinate system.
