A radius (or radial) vector is a vector which goes through the origin. That is going directly away from (or toward) the origin. A vector that is not radial is a transverse vector
it is the distance between what an object is orbiting around and the object itself in any given point
the main definition of diameter is the measurement of straight down the middle of a circle or some other shapes but mainly circles
Orthogonal signal space is defined as the set of orthogonal functions, which are complete. In orthogonal vector space any vector can be represented by orthogonal vectors provided they are complete.Thus, in similar manner any signal can be represented by a set of orthogonal functions which are complete.
2 linear vectors sharing a concentric origin, or 1 linear vector sharing a concentric origin with a mass having all contributing vectors sharing a concentric origin in alignment. The set of vectors is limited, as any noncollinear influence nullifies without a simultaneous exact opposition
scalar has only a magnitude vector has both magnitude and direction
A vector is a quantity with both a direction and magnitude
The normal vector to the surface is a radius at the point of interest.
In an elliptical orbit, the length of the radius vector varies between apogee and perigee due to the changing distance from the central body. At apogee, which is the farthest point from the central body, the radius vector is at its maximum length. Conversely, at perigee, the radius vector reaches its minimum length, as it is the closest point to the central body. This variation in the radius vector is a fundamental characteristic of elliptical orbits, resulting in different orbital speeds at these two points.
The vorticity vector is DelxV = v/r sin(RV)H1, the Curl of the vector V. The unit vector H1, is perpendicular to the plane formed by the radius vector R and and the vector V.
the radius vector; and the vectorial angle the radius vector; and the vectorial angle
In an elliptical orbit, the radius vector, which connects the center of the central body to the orbiting object, varies in length as the object moves between apogee and perigee. At perigee, the radius vector is at its shortest, representing the closest distance to the central body, while at apogee, it is at its longest, indicating the farthest distance. As the orbiting object travels from apogee to perigee, the radius vector decreases in length, reflecting the gravitational pull that accelerates the object toward the central body. This change in the radius vector is a key characteristic of elliptical orbits, governed by Kepler's laws of planetary motion.
In vector format, the moment can be defined as the cross product between the radius vector, r (the vector from point O to the line of action), and the force vector.
t = r X F, where t is torque, r is displacement, and F is force; all quantities are vectors. Because the formula contains a cross product, the magnitude of the torque is given by the expression rFsin(θ), where θ is the angle between the position vector and the force vector.
It is the direction of the vector representing the force.
Given the vector in angle-radius form? y-component=r sin(theta), x-component=r cos(theta)
Not at all possible. Torque defined as the moment of the force about a point or an axis of rotation. Torque tau vector = radius vector x Force vector. Radius is to be measured only from a given point or given axis. Hence axis in very important
That's the definition of its velocity vector.