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.
No. the zero vector has no direction, therefore it has no significance.
A physical quantity that is specified by both magnitude and direction is a vector by definition.
A vector is a physical magnitude where not only a number is important, but also an associated direction. This is commonly used (for example) for velocity, acceleration, force, and many others.
A force vector - or just about any physical vector, for that matter - is usually represented as an arrow. The direction of the arrow represents the direction of the vector; the length of the arrow is supposed to be proportional to the force (or to whatever physical quantity you are representing).
It is neither. The terms "scalar" and "vector" are used to physical measurements; things that can actually be measured with a certain amount of precision.
Such a physical quantity is a vector.
The same as the original vector. The scalar will change the numbers, but not the dimensions.
No. the zero vector has no direction, therefore it has no significance.
A physical quantity that is specified by both magnitude and direction is a vector by definition.
For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.
A quantity involving direction and magnitude is called physically vector A quantity involving direction and magnitude is called physically vector
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.
vector quantity
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 vector is a physical magnitude where not only a number is important, but also an associated direction. This is commonly used (for example) for velocity, acceleration, force, and many others.