FISICA : i vettori e le loro operazioni

🙏 Buy me a coffee ➜ https://www.paypal.me/FrancescaMartorana 👍 Follow me on Facebook ➜   / fantasticamenteing   💙 Follow me on Instagram ➜   / fantasticamenteing   🌍 Visit my website ➜ https://www.FantasticaMenteING.com 🔔 To stay updated on upcoming uploads, subscribe to the channel and turn on notifications by clicking on the Bell ★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★ #PHYSICS (MECHANICS) In this lesson: vector quantities and scalar quantities operations with vectors (explanation of: addition of vectors, subtraction of vectors, decomposition of a vector along two lines, multiplication of a vector by a number). ** #VECTORS AND #SCALARS ** The movement between two points A and B in the plane is characterized by three properties: the DIRECTION, i.e., the line to which points A and B belong; the DIRECTION, which is one of the two directions in which the line can be traveled; the LENGTH, which is the distance AB, also called magnitude or magnitude. All physical quantities characterized by these three properties are called VECTOR. Examples of VECTOR QUANTITIES are: displacement, velocity, acceleration, force, electric field, magnetic field, etc. Conversely, quantities that can be described by a number alone, without the need to specify direction or orientation, are called SCALARS. Examples of SCALAR QUANTITIES are: volume, mass, temperature, pressure, energy, time... ** OPERATIONS WITH VECTORS ** ADDITION OF VECTORS The addition (or sum) of two vectors can be performed in two different ways that obviously yield the same result: with the HEAD-TO-TAIL METHOD, in which the vector sum is obtained by joining the starting point of the first vector (tail) to the tip of the second; with the PARALLELOGRAM RULE, in which the vector sum has the direction and magnitude of the diagonal of the parallelogram formed by the two vectors. The vector sum is also called the RESULTANT. Vector addition has two properties: commutative and associative. SUBTRACTION OF VECTORS (Difference of Two Vectors) To subtract a vector from another vector, take the opposite of the vector being subtracted and then add it to the other vector using the head-and-tail method or the parallelogram rule. DECOMPOSITION OF A VECTOR ALONG TWO ASSIGNED DIRECTIONS Decomposition of a vector B along two assigned directions r and s means determining the two components of the vector: a vector Br on r and a vector Bs on s such that their sum gives the original vector B. MULTIPLICATION OF A VECTOR BY A NUMBER Multiplying a vector A by a number k, we obtain a new vector B = k A which has a magnitude equal to the product of A times the absolute value of k the same direction as A the same direction as A (if k is a positive number) or the opposite direction of A (if k is a negative number). See you in the next lesson! Eng. Francesca Martorana 〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️ 〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️