Online calculator. Component form of a vector with initial point and terminal point

This free online calculator help you to find vector components (vector coordinates) through two points (initial and terminal points) very simply.

Using this online calculator, you will receive a detailed solution to your problem, which will help you understand the algorithm solving to determine the coordinates of vector and to fix the passed material.

Calculator

Guide

Some theory

Calculator for calculate the coordinates of vector by initial and terminal points

Vector dimension:

Initial point

= (, , )

Terminal point

= (, , )

AB

Guide - how to use calculator

To find the component form of a vector with initial and terminal points:

Select the vector dimension;

Type the coordinates of the initial and terminal points of vector;

Press the button "=" and you will have a detailed step-by-step solution.

Entering data into the calculator

You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.

Additional features of the calculator

You can navigate between the input fields by pressing the keys "left" and "right" on the keyboard.

Theory. Component form of a vector with initial point and terminal point

Definition.

A vector AB has an initial point A and a terminal point B. The coordinates of vector AB are found by subtracting the coordinates of initial point A from the coordinates of terminal point B.

Two-dimensional vectors. The component form of vector AB with A(A_{x}, A_{y}) and B(B_{x}, B_{y}) can be found using the following formula:

AB = {B_{x} - A_{x}; B_{y} - A_{y}}

Three-dimensional vectors. The component form of vector AB with A(A_{x}, A_{y}, A_{z}) and B(B_{x}, B_{y}, B_{z}) can be found using the following formula: