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A vector is a quantity that has both a magnitude and a direction, and as such they are used to specify the position, velocity and momentum of a particle, or to specify a force. Vectors are usually denoted by boldface symbols (e.g. u u) or with an arrow above the symbol (e.g. u ⃗. u →).
Proof of the law of polygon of vectors: Let the magnitudes and directions of the vectors \(\vec{a}\), \(\vec{b}\), \(\vec{c}\), \(\vec{d}\) be represented, by the arms of the polygon OABCD, taken in order: \(\overrightarrow{O A}\), \(\overrightarrow{A B}\), \(\overrightarrow{B C}\), \(\overrightarrow{C D}\) [Fig.].
The vector product of two vectors is a vector defined as. u × v = | u | | v | nsinθ. where θ is again the angle between the two vectors, and n is the unit vector perpendicular to the plane formed by u and v. The direction of the vector n is given by the right-hand rule.
5 Σεπ 2024 · Polygon Law of Vector Addition. Polygon law of vector addition states that, “Resultant of a number of vectors can be obtained by representing them in magnitude and direction by the sides of a polygon taken in the same order, and then taking the closing side of the polygon in the opposite direction.”
1.1 Definition. The Triangle Law of Vector Addition states that if two vectors are represented as two sides of a triangle in magnitude and direction, then their resultant vector is represented by the third side of the triangle, taken in the opposite direction. Let two vectors A and B be represented by two sides of a triangle
Polygon law of vectors states that if vectors can be represented by the sides of polygon, then the closing side in reverse order represents the resultant.
Define components of vectors; Describe the analytical method of vector addition and subtraction; Use the analytical method of vector addition and subtraction to solve problems
