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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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2**Question:** A marine robotics engineer is programming an autonomous...
Solution:** To find a vector \(\mathbf{v}\) that is perpendicular to \...
3x + 4y = 0
We also know that the magnitude of \(\mathbf{v}\) is 5 units:
\sqrt{x^2 + y^2} = 5 \quad \Rightarrow \quad x^2 + y^2 = 25
From \(3x + 4y = 0\), we can express \(y\) in terms of \(x\):
y = -\frac{3}{4}x
Substitute \(y = -\frac{3}{4}x\) into \(x^2 + y^2 = 25\):
x^2 + \left(-\frac{3}{4}x\right)^2 = 25

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