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Home » Using Pythagorean theorem: \(x^2 + 12^2 = 13^2\). - Ready Digital AB

Using Pythagorean theorem: \(x^2 + 12^2 = 13^2\). - Ready Digital AB

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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From (1): $w_2 = -1 - 2w_3$.
From (2): $w_1 = 3w_3 - 4$.
Substitute into (3):
-2(3w_3 - 4) - 3(-1 - 2w_3) = 2 \
-6w_3 + 8 + 3 + 6w_3 = 2 \Rightarrow 11 = 2
Contradiction. Hence, no such vector $\mathbf{w}$ exists.
oxed{ ext{No solution exists}}
Question: A museum curator is restoring a triangular panel from a hist...
Solution: The line through $A$ and $B$ is parametrized as:
\mathbf{r}(t) = \mathbf{A} + t(\mathbf{B} - \mathbf{A}) = \langle 1, 3...

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