0
Consider two vectors A and B Represented by directionel lines OM and ON respectively
now add the two vectors by head to tail tail of vector addition now resolve it into rectangular components as shown in figure
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is meant by rectangular unit vector?
A unit vector has a length (magnitude) equal to 1 (one unit). A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
What is the purpose of vector resolution in adding vectors?
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
What does rectangular component of a vector mean?
Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector. The reason for doing this is that vectors acting at right angles to one another do not affect one another.
What is difference in resultant vector and vector resolution?
the difference between resultant vector and resolution of vector is that the addition of two or more vectors can be represented by a single vector which is termed as a resultant vector. And the decomposition of a vector into its components is called resolution of vectors.
Method for the addition of vector?
Divide the vectors into horizontal and vertical components (or components in three dimensions). Add the components together for the different vectors. Convert the resultant vector back to polar coordinates, if need be. Note: Most scientific calculators have a special function to convert from polar coordinates (distance and angle) to rectangular coordinates (x and y coordinates), and back. If your calculator has such a function, using it will save you a lot of work.
How a vector can be express in term of its rectangular component?
A vector can be represented in terms of its rectangular components for example : V= Ix + Jy + Kz I, J and K are the rectangular vector direction components and x, y and z are the scalar measures along the components.
What is the angle between rectangular componenet of a vector?
If the components are in the i and j directions, for example, then if the vector is mi + nj then the coefficients m and n can be used to find the magnitude and direction.The magnitude is the hypotenuse of a right triangle with legs m and n, so it is sqrt(m² + n²).
Why is Vector resolution the opposite of vector addition?
Vector addition derives a new vector from two or more vectors, and vector resolution is breaking a vector down into its two or more components.
What is meant by rectangular unit vector?
A unit vector has a length (magnitude) equal to 1 (one unit). A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
What is the purpose of vector resolution in adding vectors?
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
What is the dot product of two rectangular components of a vector?
a vector is a line with direction and distance. there is no answer to your question. the dot is the angular relationship between two vectors.
Vector A lies in xy planeFor what orientation will both of its rectangular components be negative?
South West orientation makes both components negative.
Vector A lies in the xy plane.For what orientation will both of its rectangular components be negative?
South West orientation makes both components negative.
How do you add Vectors By rectangular components?
INTRODUCTIONRectangular component method of addition of vectors is the most simplest method to add a number of vectors acting in different directions.DETAILS OF METHODConsider two vectors making angles q1 and q2 with +ve x-axis respectively.STEP #01Resolve vector into two rectangular components and .Magnitude of these components are:andSTEP #02Resolve vector into two rectangular components and .Magnitude of these components are:andFor latest information , free computer courses and high impact notes visit : www.citycollegiate.comSTEP #03Now move vector parallel to itself so that its initial point (tail) lies on the terminal point (head) of vector as shown in the diagram.Representative lines of and are OA and OB respectively.Join O and B which is equal to resultant vector of and STEP #04Resultant vector along X-axis can be determined as:STEP # 05Resultant vector along Y-axis can be determined as:STEP # 06Now we will determine the magnitude of resultant vector.In the right angled triangle DBOD:HYP2 = BASE2 + PERP2STEP # 07Finally the direction of resultant vector will be determined.Again in the right angled triangle DBOD:Where q is the angle that the resultant vector makes with the positive X-axis.In this way we can add a number of vectors in a very easy manner.This method is known as ADDITION OF VECTORS BY RECTANGULAR COMPONENTS METHOD. For latest information , free computer courses and high impact notes visit : www.citycollegiate.com
What does rectangular component of a vector mean?
Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector. The reason for doing this is that vectors acting at right angles to one another do not affect one another.
What is difference in resultant vector and vector resolution?
the difference between resultant vector and resolution of vector is that the addition of two or more vectors can be represented by a single vector which is termed as a resultant vector. And the decomposition of a vector into its components is called resolution of vectors.
What are force calculations?
Calculations with forces. Often these have to be calculated as vectors, i.e., the direction of the force is taken into account. You should do some reading on vector addition; however, the basic idea is that you can think of the vector as an arrow drawn on paper; the length is proportional (in this case) to the force, the direction indicates the direction. A common tool is to separate the vector (the arrow) into horizontal and vertical components. That way, you can easily add two or more vectors. This requires some trigonometry (or the special functions of your calculator, for rectangular-->polar, and polar-->rectangular conversion).Calculations with forces. Often these have to be calculated as vectors, i.e., the direction of the force is taken into account. You should do some reading on vector addition; however, the basic idea is that you can think of the vector as an arrow drawn on paper; the length is proportional (in this case) to the force, the direction indicates the direction. A common tool is to separate the vector (the arrow) into horizontal and vertical components. That way, you can easily add two or more vectors. This requires some trigonometry (or the special functions of your calculator, for rectangular-->polar, and polar-->rectangular conversion).Calculations with forces. Often these have to be calculated as vectors, i.e., the direction of the force is taken into account. You should do some reading on vector addition; however, the basic idea is that you can think of the vector as an arrow drawn on paper; the length is proportional (in this case) to the force, the direction indicates the direction. A common tool is to separate the vector (the arrow) into horizontal and vertical components. That way, you can easily add two or more vectors. This requires some trigonometry (or the special functions of your calculator, for rectangular-->polar, and polar-->rectangular conversion).Calculations with forces. Often these have to be calculated as vectors, i.e., the direction of the force is taken into account. You should do some reading on vector addition; however, the basic idea is that you can think of the vector as an arrow drawn on paper; the length is proportional (in this case) to the force, the direction indicates the direction. A common tool is to separate the vector (the arrow) into horizontal and vertical components. That way, you can easily add two or more vectors. This requires some trigonometry (or the special functions of your calculator, for rectangular-->polar, and polar-->rectangular conversion).
