Calculate the magnitude of the vector.

April 14, 2026Mathematics

ScanSolve AI Answer

April 14, 2026

Answer

\begin{pmatrix} 4 \ -6 \end{pmatrix}$.

Here are the solutions to your questions:

a) Find the magnitude and bearing of the vector $\vec{OQ} = \begin{pmatrix} 4 \\ -6 \end{pmatrix}$ .

Step 1: Calculate the magnitude of the vector. The magnitude of a vector $\begin{pmatrix} x \\ y \end{pmatrix}$ is given by $\sqrt{x^2 + y^2}$ . $|\vec{OQ}| = \sqrt{4^2 + (-6)^2}$ $|\vec{OQ}| = \sqrt{16 + 36}$ $|\vec{OQ}| = \sqrt{52}$ $|\vec{OQ}| \approx 7.211$

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Quick Answer

a) Find the magnitude and bearing of the vector OQ = 4 \\ -6 . Step 1: Calculate the magnitude of the vector.

Asked on April 14, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 14, 2026

Here are the solutions to your questions: a) Find the magnitude and bearing of the vector OQ = 4 \\ -6 . Step 1: Calculate the magnitude of the vector. The magnitude of a vector x \\ y is given by sqrt(x^2 + y^2). |OQ| = sqrt(4^2 + (-6)^2) |OQ| = sqrt(16 + 36) |OQ| = sqrt(52) |OQ| ≈ 7.211 Step