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Home » Solution: To find a vector orthogonal to both, compute their cross product: - Midis

Solution: To find a vector orthogonal to both, compute their cross product: - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Therefore, the remainder is \(\boxed{0}\).

📌 An emerging technology researcher exploring base systems in quantum computing asks: What is the base-ten number represented by the base-nine number \(321_9\)?

📌 To convert \(321_9\) to base ten, expand using powers of 9:

📌 321_9 = 3 \times 9^2 + 2 \times 9^1 + 1 \times 9^0

📌 \times 81 = 243, \quad 2 \times 9 = 18, \quad 1 \times 1 = 1

📌 + 18 + 1 = 262

📌 Thus, the base-ten representation is \(\boxed{262}\).

📌 A philosopher of science reflecting on cyclical patterns in number systems asks: What is the least common multiple of the numbers \(n\) and \(n+2\) for \(n = 101\)?

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