# How to find the magnitude of a 3d vector

We will explore How to find the magnitude of a 3d vector can help students understand and learn algebra.

Solve Now ## How to Find the Magnitude of a Three-dimensional Vector

For a 3-dimensional vector, V = (a, b, c) the magnitude is given by √(a 2 + b 2 + c 2). Let's look into few examples to understand this. Example 1: Find the magnitude of the vector xi + yj +zk.

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## Magnitude of a Vector Definition, Formulas and Problems

Find out the direction and magnitude of the given 3-D vector PQ (3,5,6). Solution. The magnitude of the given vector is given as: |PQ| = √ ((3) 2 + (5) 2 + (6) 2) |PQ| = √ (9 + 25 + 36) |PQ| = 8.366. The direction of the 3-D vector is given by unit ## Lesson Explainer: Magnitude of a Vector in 3D

vector!In order to solve this question, we recall that the magnitude of a vector in 3D space is given by ‖ ‖ ⃑ 𝐴 ‖ ‖ = √ 𝑥 + 𝑦 + 𝑧, where 𝑥, 𝑦, and 𝑧 represent the components of the vector in the respective cardinal 