It is a magnitude that has a size and a direction. You can also express it as having components in different directions; for example, in the x-direction and in the y-direction.
To determine the velocity vector from a given position in a physical system, you can calculate the derivative of the position vector with respect to time. This derivative gives you the velocity vector, which represents the speed and direction of motion at that specific point in the system.
A physical quantity described by both magnitude and direction is called a vector. Vectors are commonly represented by an arrow pointing in a specific direction, with the length of the arrow representing the magnitude of the quantity.
No. the zero vector has no direction, therefore it has no significance.
The null vector is a special case where both magnitude and direction are undefined. This vector represents a point in space, rather than a physical quantity with magnitude and direction.
The significance of the divergence of a scalar times a vector in vector calculus is that it simplifies to the scalar multiplied by the divergence of the vector. This property is important in understanding how scalar fields interact with vector fields and helps in analyzing the flow and behavior of physical quantities in various fields of science and engineering.
Such a physical quantity is a vector.
The same as the original vector. The scalar will change the numbers, but not the dimensions.
A quantity involving direction and magnitude is called physically vector A quantity involving direction and magnitude is called physically vector
For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.
To determine the velocity vector from a given position in a physical system, you can calculate the derivative of the position vector with respect to time. This derivative gives you the velocity vector, which represents the speed and direction of motion at that specific point in the system.
A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents the magnitude.
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
a vector
Divergence is a vector operator that measures the magnitude of a vector fields source or sink at a given point.
A physical quantity described by both magnitude and direction is called a vector. Vectors are commonly represented by an arrow pointing in a specific direction, with the length of the arrow representing the magnitude of the quantity.
Vector
Vector Algebra and Vector Calculus are used widely in science, especially Physics and engineering.The physical world involves four dimensions, one scalar dimension and three vector dimensions. From this you can say that 3/4 of the world involve vectors.