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Home » \[ P(5) = 3P_0. \] - Get link 4share

\[ P(5) = 3P_0. \] - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question: A forensic anthropologist uses GPS tracking in remote excavation sites. The position of a team member is given by $\mathbf{r}(t) = \langle 2t, t^2 \rangle$, and a collision risk zone is defined by vectors perpendicular to $\langle 1, -1 \rangle$. Find the value of $t$ for which $\mathbf{r}(t) \cdot \langle 1, -1 \rangle = 0$.

📌 A: $t = 1$

📌 B: $t = 0.5$

📌 C: $t = 2$

📌 D: $t = \sqrt{2}$

📌 Compute $t$ such that $\langle 2t, t^2 \rangle \cdot \langle 1, -1 \rangle = 0$.

📌 Option B: $2t - t^2 = 0$ → $t(2 - t) = 0$, so $t = 2$ is valid non-zero solution.

📌 All steps confirm the solution is valid.

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