检查给定向量是否处于平衡状态
原文:https://www . geeksforgeeks . org/check-如果给定向量处于平衡或不平衡状态/
给定三个向量的 x、y 和 z 坐标，任务是检查它们是否处于平衡状态。 例:
输入: x1 = -2，y1 = 1，z1 = 0，x2 = 5，y2 = 0，z2 = 5，x3 = -3，y3 = -1，z3 = -5 输出:矢量处于平衡状态。 输入: x1 = 2，y1 = -17，z1 = 0，x2 = 5，y2 = 1，z2 = -5，x3 = 4，y3 = 2，z3 = -4 输出:矢量不均衡。
当三个矢量处于平衡状态时
方法:当三个向量的结果为空向量，即没有大小和方向时，这三个向量处于平衡状态。三个向量的合力等于向量的向量和。当，∑x = 0，∑y = 0，∑ z = 0 时，结果向量为 Null。因此，我们可以说，当所述条件满足时，矢量处于平衡状态，否则不处于平衡状态。
C++
// CPP program to check the equilibrium of three vectors
#include <bits/stdc++.h>
using namespace std;
// Function to check the equilibrium of three vectors
bool checkEquilibrium(int x1, int y1, int z1, int x2, int y2,
int z2, int x3, int y3, int z3)
{
// summing the x coordinates
int resx = x1 + x2 + x3;
// summing the y coordinates
int resy = y1 + y2 + y3;
// summing the z coordinates
int resz = z1 + z2 + z3;
// Checking the condition for equilibrium
if (resx == 0 and resy == 0 and resz == 0)
return true;
else
return false;
}
// Driver code
int main()
{
int x1 = -2, y1 = -7, z1 = -9, x2 = 5, y2 = -14, z2 = 14,
x3 = -3, y3 = 21, z3 = -5;
// Checking for equilibrium
if (checkEquilibrium(x1, y1, z1, x2, y2, z2, x3, y3, z3))
cout << "The vectors are at equilibrium.";
else
cout << "The vectors are not at equilibrium.";
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java program to check the equilibrium of three vectors
public class GFG {
// Function to check the equilibrium of three vectors
static boolean checkEquilibrium(int x1, int y1, int z1, int x2, int y2,
int z2, int x3, int y3, int z3)
{
// summing the x coordinates
int resx = x1 + x2 + x3;
// summing the y coordinates
int resy = y1 + y2 + y3;
// summing the z coordinates
int resz = z1 + z2 + z3;
// Checking the condition for equilibrium
if (resx == 0 & resy == 0 & resz == 0)
return true;
else
return false;
}
// Driver code
public static void main(String args[])
{
int x1 = -2, y1 = -7, z1 = -9, x2 = 5, y2 = -14,
z2 = 14, x3 = -3, y3 = 21, z3 = -5;
// Checking for equilibrium
if (checkEquilibrium(x1, y1, z1, x2, y2,
z2, x3, y3, z3))
System.out.println("The vectors are at equilibrium.");
else
System.out.println("The vectors are not at equilibrium.");
}
}
// This code is contributed by ANKITRAI1
Python 3
# Python 3 program to check the
# equilibrium of three vectors
# Function to check the equilibrium
# of three vectors
def checkEquilibrium(x1, y1, z1, x2, y2,
z2, x3, y3, z3) :
# summing the x coordinates
resx = x1 + x2 + x3
# summing the y coordinates
resy = y1 + y2 + y3
# summing the z coordinates
resz = z1 + z2 + z3
# Checking the condition for equilibrium
if (resx == 0 and resy == 0 and
resz == 0):
return True
else:
return False
# Driver code
x1 = -2; y1 = -7; z1 = -9
x2 = 5; y2 = -14; z2 = 14
x3 = -3; y3 = 21; z3 = -5
# Checking for equilibrium
if (checkEquilibrium(x1, y1, z1,
x2, y2, z2,
x3, y3, z3)):
print("The vectors are at equilibrium.")
else:
print("The vectors are not at equilibrium.")
# This code is contributed
# by Akanksha Rai
C
// C# program to check the equilibrium
// of three vectors
class GFG
{
// Function to check the equilibrium
// of three vectors
static bool checkEquilibrium(int x1, int y1, int z1,
int x2, int y2, int z2,
int x3, int y3, int z3)
{
// summing the x coordinates
int resx = x1 + x2 + x3;
// summing the y coordinates
int resy = y1 + y2 + y3;
// summing the z coordinates
int resz = z1 + z2 + z3;
// Checking the condition for equilibrium
if (resx == 0 & resy == 0 & resz == 0)
return true;
else
return false;
}
// Driver code
public static void Main()
{
int x1 = -2, y1 = -7, z1 = -9,
x2 = 5, y2 = -14, z2 = 14,
x3 = -3, y3 = 21, z3 = -5;
// Checking for equilibrium
if (checkEquilibrium(x1, y1, z1, x2, y2,
z2, x3, y3, z3))
System.Console.WriteLine("The vectors are " +
"at equilibrium.");
else
System.Console.WriteLine("The vectors are not " +
"at equilibrium.");
}
}
// This code is contributed by mits
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP program to check the equilibrium
// of three vectors
// Function to check the equilibrium
// of three vectors
function checkEquilibrium($x1, $y1, $z1,
$x2, $y2, $z2,
$x3, $y3, $z3)
{
// summing the x coordinates
$resx = $x1 + $x2 + $x3;
// summing the y coordinates
$resy = $y1 + $y2 + $y3;
// summing the z coordinates
$resz = $z1 + $z2 + $z3;
// Checking the condition
// for equilibrium
if ($resx == 0 and $resy == 0 and
$resz == 0)
return true;
else
return false;
}
// Driver code
$x1 = -2; $y1 = -7; $z1 = -9;
$x2 = 5; $y2 = -14; $z2 = 14;
$x3 = -3; $y3 = 21; $z3 = -5;
// Checking for equilibrium
if (checkEquilibrium($x1, $y1, $z1,
$x2, $y2, $z2,
$x3, $y3, $z3))
echo "The vectors are at equilibrium.";
else
echo "The vectors are not at equilibrium.";
// This code is contributed by akt_mit
?>
java 描述语言
<script>
// Javascript program to check the
// equilibrium of three vectors
// Function to check the equilibrium
// of three vectors
function checkEquilibrium(x1, y1, z1, x2, y2,
z2, x3, y3, z3)
{
// Summing the x coordinates
var resx = x1 + x2 + x3;
// Summing the y coordinates
var resy = y1 + y2 + y3;
// Summing the z coordinates
var resz = z1 + z2 + z3;
// Checking the condition for equilibrium
if (resx == 0 & resy == 0 & resz == 0)
return true;
else
return false;
}
// Driver Code
var x1 = -2, y1 = -7, z1 = -9,
x2 = 5, y2 = -14, z2 = 14,
x3 = -3, y3 = 21, z3 = -5;
// Checking for equilibrium
if (checkEquilibrium(x1, y1, z1, x2, y2,
z2, x3, y3, z3))
document.write("The vectors are at equilibrium.");
else
document.write("The vectors are not at equilibrium.");
// This code is contributed by Kirti
</script>
Output:
The vectors are at equilibrium.
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