Resultant Vector Calculator

Formula

The formula to calculate the resultant vector (X, Y, Z) from the summation of two different vectors is:

\[ X = X1 + X2 \\ Y = Y1 + Y2 \\ Z = Z1 + Z2 \]

Where:

(X, Y, Z) are the coordinate values of the resultant vector
X1, Y1, Z1 are the values of the first vector
X2, Y2, Z2 are the values of the second vector

What Are Resultant Vectors?

A resultant vector is the result of adding two or more vectors together to yield a new vector. It represents the combined effect of the individual vectors.

Resultant vectors are commonly used in physics to represent the total effect of forces, velocities, or other physical quantities acting simultaneously in different directions.

Example Calculation

Let's assume the following vectors:

Vector 1: (X1, Y1, Z1) = (3, 4, 2)
Vector 2: (X2, Y2, Z2) = (1, -2, 5)

Step 1: Calculate the resultant vector (X, Y, Z):

X = 3 + 1 = 4
Y = 4 + (-2) = 2
Z = 2 + 5 = 7

Therefore, the resultant vector is (4, 2, 7).