Magnitude is used in stating the size or extent of something such as a star, earthquake, orexplosion.

The magnitude of a vector →PQ is the distance between the initial point P and the end point Q . In symbols the magnitude of →PQ is written as | →PQ | . If the coordinates of the initial point and the end point of a vector is given, the Distance Formula can be used to find its magnitude.

In physics, magnitude is described in simple words as ‘distance or quantity’. It shows the direction or size that is absolute or relative in which an object moves in the sense of motion. It is used to describe the size or extent of something. Generally, in physics, magnitude relates to distance or quantity.

Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page. For a two-dimensional vector a=(a1,a2), the formula for its magnitude is ∥a∥=√a21+a22.

It means size of the force. It is sum of all forces acting on a body. If 2 forces act in same direction, Magnitude of force increases. It is the sum of of both forces.

The magnitude of a number (also called its absolute value) is its distance from zero, so. • the magnitude of 6 is 6. • the magnitude of −6 is also 6. The magnitude of a vector is its length (ignoring direction).

A quantity which does not depend on direction is called a scalar quantity. Vector quantities have two characteristics, a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.

A vector quantity has a direction and a magnitude, while a scalar has only a magnitude. You can tell if a quantity is a vector by whether or not it has a direction associated with it. Example: Speed is a scalar quantity, but velocity is a vector that specifies both a direction as well as a magnitude.

Distance is a scalar quantity that refers to “how much ground an object has covered” during its motion. Displacement is a vector quantity that refers to “how far out of place an object is”; it is the object’s overall change in position.

Whereas displacement is defined by both direction and magnitude, distance is defined only by magnitude. Displacement is an example of a vector quantity. Distance is an example of a scalar quantity. A scalar is any quantity that has a magnitude, but no direction.

A scalar is a simple single numeric value (as in 1, 2/3, 3.14, etc.), usually integer, fixed point, or float (single or double), as opposed to an array, structure, object, complex vector (real plus imaginary or magnitude plus angle components), higher dimensional vector or matrix (etc.)

A negative value for a scalar does not imply a direction in space. Temperature can be negative, but temperature doesn’t have a direction in space. A circuit can have a negative amount of voltage at a given point, but the voltage isn’t pointing in any direction.

Zero vector has zero value in the given vector space. So, it is different from zero scalar. Zero vector is additive identity of the given vector space whereas zero scalar is not.

It has a direction, which is zero. It keeps being a vector, not a scalar. The vector magnitude is a scalar, tough.

A scalar is a real number. We often use the term scalar in the context of vectors or matrices, to stress that a variable such as a is just a real number and not a vector or matrix.

The scalar equation of a plane, with normal vector n = (A, B, C), is Ax + By + Cz + D = 0. The cross product can be used to find a vector that is perpendicular to any two vectors contained in the plane. n = (1, -2, -2) × (2, 3, -2) = (10, -2, 7).