Pre-Calculus Prep: Find the Resultant Vector of Two 3D Vectors Given as Ordered Triples

To find the resultant vector of two 3D vectors given as ordered triples, you need to add the corresponding components of the vectors. Here's how you can do it:

1. Identify the given vectors: Let's say the two vectors are given as (a₁, b₁, c₁) and (a₂, b₂, c₂).

2. Add the corresponding components: Add the x-component, y-component, and z-component of the two vectors:
Resultant vector = (a₁ + a₂, b₁ + b₂, c₁ + c₂)

The resultant vector is obtained by adding the corresponding components of the two vectors.

For example, if the first vector is (2, 5, -1) and the second vector is (4, -3, 7), the resultant vector would be:
Resultant vector = (2 + 4, 5 + (-3), -1 + 7) = (6, 2, 6)

Therefore, the resultant vector of the two 3D vectors given as ordered triples is (6, 2, 6).

By following these steps, you can find the resultant vector by adding the corresponding components of the two 3D vectors given as ordered triples in pre-calculus.

These videos are designed to review and reteach Precalculus and Collegeboard Pre-CALC AP content. My videos cover functions, polynomials, exponential and logarithmic expressions, trigonometry, parametric equations, polar coordinates, vectors, matrices and systems, conic sections, discrete mathematics, sequences and series; and an introduction to calculus.

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa .
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