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Vector quantity: quantity with a magnitude and a direction. It can be represented by a vector. Examples: displacement, velocity, acceleration. Same displacement. Displacement does not describe the object’s path. Scalar quantity: quantity with magnitude, no direction.
A vector is a quantity that has both magnitude (i.e. length) and direction. An "arrow" in space. Examples: velocity, force, momentum, electric field etc. Need a reference frame (coordinate system). Use the Cartesian coordinate system defined by three orthogonal axes (in 3D). z. This is a right-handed rectangular coordinate O.
Galileo Galilee. 3.1.1 Introduction to Vectors. Certain physical quantities such as mass or the absolute temperature at some point in space only have magnitude. A single number can represent each of these quantities, with appropriate units, which are called scalar quantities.
2 Απρ 2024 · The Polygon law of vector addition states that if a number of vectors can be represented in magnitude and direction by the sides of a polygon taken in the same order, then their resultant is represented in magnitude and direction by the closing side of the polygon taken in the opposite order.
Vectors are said to be co-planar when they are parallel to the same plane. In the adjoining figure a,b,c →→→ and d → are co-planar. Whereas a,b →→ and c → lie on the same plane, d → is parallel to the plane of a,b →→ and c →. Note : (i) A zero vector can be made to be collinear with any vector. (ii) Any two vectors are ...
many of these \unexpected" vector spaces play a role in physics, particularly in quantum physics. After a brief review of \traditional" vectors we will, therefore, introduce the main ideas in some generality.
The topic of vectors provides a natural introduction to the r ole of math-ematics in physics. By using vector notation, physical laws can often be written in compact and simple form. Modern vector notatio n was invented by a physicist, Willard Gibbs of Yale University, primarily to simplify the appearance of equations. For example, here is h ow ...
