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Find area of parallelogram if vectors of two adjacent sides are given using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 212 Views

Suppose we have two vectors for two adjacent sides of a parallelogram in the form $x\hat{i}+y\hat{j}+z\hat{k}$ Our task is to find the area of parallelogram. The area of parallelogram is magnitude of the cross product of two vectors. (|A × B|)$$\rvert \vec{A}\times\vec{B}\rvert=\sqrt{\lgroup y_{1}*z_{2}-y_{2}*z_{1}\rgroup^{2}+\lgroup x_{1}*z_{2}-x_{2}*z_{1}\rgroup^{2}+\lgroup x_{1}*y_{2}-x_{2}*y_{1}\rgroup^{2}}$$Example#include #include using namespace std; float area(float A[], float B[]) {    float area = sqrt(pow((A[1] * B[2] - B[1] * A[2]), 2) + pow((A[0] * B[2] - B[0] * A[2]), 2) + pow((A[0] * B[1] - B[0] * A[1]), 2));    return area; } int main() {    float A[] = {3, 1, -2};   ...

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Find ceil of a/b without using ceil() function in C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 961 Views

Here we will see how to get the ceiling value of a/b without using the ceil() function. If a = 5, b = 4, then (a/b) = 5/4. ceiling(5/4) = 2. To solve this, we can follow this simple formula −$$ceil\lgroup a,b\rgroup=\frac{a+b-1}{b}$$Example#include using namespace std; int ceiling(int a, int b) {    return (a+b-1)/b; } int main() {    cout

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Find difference between sums of two diagonals in C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 603 Views

Here we will see how to get the difference between the sums of two diagonals of a given matrix. Suppose we have a matrix of order N x N, we have to get the sum of primary and secondary diagonals, then get the difference of them. To get the major diagonal, we know that the row index and column index increases simultaneously. For the second diagonal, row index and column index values are increased by this formula row_index = n – 1 – col_index. After getting the sum, take the difference and return a result.Example#include #include #define MAX 100 using ...

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Find Harmonic mean using Arithmetic mean and Geometric mean using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 416 Views

Here we will see how to get the Harmonic mean using the arithmetic mean and the geometric mean. The formula for these three means are like below −Arithmetic Mean − (a + b)/2Geometric Mean − $$\sqrt{\lgroup a*b\rgroup}$$Harmonic Mean − 2ab/(a+b)The Harmonic Mean can be expressed using arithmetic mean and geometric mean using this formula −$$HM=\frac{GM^{2}}{AM}$$Example#include #include using namespace std; double getHarmonicMean(int a, int b) {    double AM, GM, HM;    AM = (a + b) / 2;    GM = sqrt(a * b);    HM = (GM * GM) / AM;    return HM; } int main() ...

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Find if a number is part of AP whose first element and difference are given using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 574 Views

Suppose we have the first element of AP, and the differenced. We have to check whether the given number n is a part of AP or not. If the first term is a = 1, differenced = 3, and the term x = 7 will be checked. The answer is yes.To solve this problem, we will follow these steps −If d is 0, and a = x, then return true, otherwise false.Otherwise, if d is not 0, then if x belongs to the sequence x = a + n * d, where n is a non-negative integer, only if (n ...

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Find if two rectangles overlap using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 1K+ Views

We know that a rectangle can be represented using two coordinates, the top left corner, and the bottom right corner. Suppose there are two rectangles, we have to check whether these two overlap or not. There are four coordinate points (l1, r1) and (l2, r2).l1 is the top-left corner of first rectangler1 is the bottom-right corner of the first rectanglel2 is the top-left corner of second rectangler2 is the bottom-right corner of the second rectangleWe have assumed that the rectangles are parallel to the coordinate axes. To solve this, we have to check a few conditions.One rectangle is above the ...

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Find largest prime factor of a number using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 1K+ Views

Consider we have an element x, we have to find the largest prime factor of x. If the value of x is 6,  then-largest prime factor is 3. To solve this problem, we will just factorize the number by dividing it with the divisor of a number and keep track of the maximum prime factor.Example#include #include using namespace std; long long getMaxPrimefactor(long long n) {    long long maxPF = -1;    while (n % 2 == 0) {       maxPF = 2;       n /= 2;    }    for (int i = 3; i 2)    maxPF = n;    return maxPF; } int main() {    long long n = 162378;    cout

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Find minimum sum of factors of number using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 468 Views

Here we will see how to get a minimum sum of factors of a given number. Suppose a number is 12. We can factorize this in different ways −12 = 12 * 1 (12 + 1 = 13)12 = 2 * 6 (2 + 6 = 8)12 = 3 * 4 (3 + 4 = 7)12 = 2 * 2 * 3 (2 + 2 + 3 = 7)The minimum sum is 7. We will take a number, and try to find the minimum factor sum. To get the minimum factor sum, we have to factorize the number as long ...

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Find N Arithmetic Means between A and B using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 208 Views

Suppose we have three integers A, B and N. We have to find N arithmetic means between A and B. If A = 20, B = 32, and N = 5, then the output will be 22, 24, 26, 28, 30The task is simple we have to insert N number of elements in the Arithmetic Progression where A and B are the first and last term of that sequence. Suppose A1, A2, …. An are n arithmetic means. So the sequence will be A, A1, A2, …. An, B. So B is the (N + 2)th term of the sequence. ...

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Find N Geometric Means between A and B using C++.

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 270 Views

Suppose we have three integers A, B and N. We have to find N geometric means between A and B. If A = 2, B = 32, and N = 3, then the output will be 4, 8, 16The task is simple we have to insert N number of elements in the geometric Progression where A and B are the first and last term of that sequence. Suppose G1, G2, …. Gn are n geometric means. So the sequence will be A, G1, G2, …. Gn, B. So B is the (N + 2)th term of the sequence. So we ...

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