vector_2d 相关的数学解题方法?

1. 📝 Summary: u = (10, -2), v = (-10, -2) 2. 🧮 Dot Product: u · v = -96

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Solve Find the angle between vectors a = (10, -2) and b = (-10, -2). — Step-by-Step Solution by AhaStep | AhaStep

Home›数学›Solve Find the angle between vectors a = (10, -2) and b = (-10, -2). — Step-by-Step Solution by AhaStep

📐 数学难度 5 — 🟢 Basicvector_2d👁 15 浏览次数⏱ 1 min read

Solve Find the angle between vectors a = (10, -2) and b = (-10, -2). — Step-by-Step Solution by AhaStep

📝 Problem

Find the angle between vectors a = (10, -2) and b = (-10, -2).

1. 📝 Summary: v = (-10$ , -2)

2. 🧮 Dot Product: u · v = -96

3. 📐 Magnitudes: |u| = 10.19803903, |v| = 10.19803903

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -96/(10.19803903·10.19803903) = -12/13

🔒 3 步剩余

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拍照或输入题目 — AI逐步解答

1. 📝 Summary: v = (-10$ , -2)

2. 🧮 Dot Product: u · v = -96

3. 📐 Magnitudes: |u| = 10.19803903, |v| = 10.19803903

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -96/(10.19803903·10.19803903) = -12/13

🔒 3 步剩余

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