Table of Contents
What is a rectangular components of vector?
Rectangular components of the vector are defined as the parts of a vector resolved into vertical and horizontal vectors are rectangular components. Rectangular components are perpendicular to each other.
What is the rectangular component?
The parts of a vector resolved into vertical and horizontal vector are rectangular components. Rectangular components are perpendicular to each other.
What is rectangular law of vector addition?
Answer : According to the Parallelogram law of vector addition, if two vectors \vec{a} and \vec{b} represent two sides of a parallelogram in magnitude and direction, then their sum \vec{a} + \vec{b} = the diagonal of the parallelogram through their common point in magnitude and direction.
What are rectangular components of force?
A force can be resolved into an infinite number of combinations of components by the parallelogram method. The most useful components are the two components that are parallel to the X and Y axes. These are known as the rectangular components.
What is resolution of vector and what are rectangular components of a vector?
This process of splitting a vector into its components is known as resolution of a vector. Consider a vector R = Vector( OA) making an angle θ with X – axis. The vector R can be resolved into two components along X – axis and Y-axis respectively. Draw two perpendiculars from A to X and Y axes respectively.
What is the triangle law of vector?
Quick Reference. A law which states that if a body is acted upon by two vectors represented by two sides of a triangle taken in order, the resultant vector is represented by the third side of the triangle.
What are the rectangular components of a right triangle?
A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.
What is a rectangular component of a vector?
The component vectors of a vector are called rectangular components of a vector when they are split into two component vectors at right angles to each other. Assume a vector is on the x-y plane and forms angles a and b with the x- and y-axes, respectively, as illustrated in the diagram.
What is the law of triangle law of vector addition?
Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
How many components are there in a vector?
Generally there are three components of vector. They are Thus, two component x-component and y-component which are perpendicular to each other. This components are called rectangular component of a vector.
What is the parallelogram law of vector addition?
This is known as the parallelogram law of vector addition. By using the orthogonal system of vector representation the sum of two vectors. a = and b = is given by adding the components of the three axes separately. i.e. a + b =. =. Similarly, the difference can be given as =.