A series of free GCSE/IGCSE Physics Notes and Lessons. Scalar and Vector Quantities Describe what is meant by scalar and vector quantities, giving examples. Distance as an example of a scalar quantity and displacement as an example of a vector quantity. Describe how a vector quantity can be ...
vector, in mathematics, a quantity that has both magnitude and direction but not position. Examples of such quantities are velocity and acceleration. In their modern form, vectors appeared late in the 19th century when Josiah Willard Gibbs and Oliver Heaviside (of the United States and Britain, ...
it is equal to a scalar multiple of that vector. let us suppose that a is an n x n square matrix, and if v be a non-zero vector, then the product of matrix a, and vector v is defined as the product of a scalar quantity λ and the given vector, such that: av =λv where v...
Given some vector quantity X , what is the relationship between d X and d X according to the standard conventions of introductory physics? Surprisingly, there are two distinct answers, depending on exactly what quantity X happens to be. The distinction is illustrated here with specific examples....
In today’s world, there are various mathematical quantities used in physics. Some of the examples include displacement, velocity, acceleration, speed, force etc. These quantities are either described as a scalar quantity or a vector quantity which distinguishes from each other by their specific ...
a quantity with more than one element (more than one piece of information). that isn't the best definition, but it is better than "magnitude and direction." perhaps the best way to understand vectors is to look at some examples. suppose i am in a room and i move around to different ...
The following are examples of vectors: Linear momentum Velocity Acceleration Q3 What is a vector? Vector is a quantity having both magnitude and direction. Q4 State true or false: In the geometric representation of vectors, the length of the arrow denotes the magnitude of the vector and the di...
Example 2: The physical quantity torque is also computed using a vector cross product. If a force F is applied to an object at position r from the pivot point, the torque τ about the pivot point is given by: ...
When we multiply two or more vectors, it is important to determine whether we want a product that has a scalar quantity or vector quantity. The technique we’ll need to apply depends on our answer to that question. There are actually three possible products in vector multiplication: vector mu...
them. Example: A vehicle’s acceleration must be mentioned together with its magnitude and direction. So the acceleration of a car is a vector quantity. The three-dimensionalcoordinate systemmakes it simple to express vectors. In this article, we’ll talk about an idea called the unit vector....