How to solve this math problem about vector_2d?

1. 📝 Summary: u = (-7, 10), v = (1, -7) 2. 🧮 Dot Product: u · v = -77

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Solve Find the angle between vectors a = (-7, 10) and b = (1, -7). — Step-by-Step Solution by AhaStep | AhaStep

Home›Math›Solve Find the angle between vectors a = (-7, 10) and b = (1, -7). — Step-by-Step Solution by AhaStep

📐 MathLevel 9 — 🔵 Intermediatevector_2d👁 13 views⏱ 1 min read

Solve Find the angle between vectors a = (-7, 10) and b = (1, -7). — Step-by-Step Solution by AhaStep

📝 Problem

Find the angle between vectors a = (-7, 10) and b = (1, -7).

1. 📝 Summary: v = (1$ , -7)

2. 🧮 Dot Product: u · v = -77

3. 📐 Magnitudes: |u| = 12.20655562, |v| = 7.071067812

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -77/(12.20655562·7.071067812) = -0.8920980474

🔒 3 steps remaining

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1. 📝 Summary: v = (1$ , -7)

2. 🧮 Dot Product: u · v = -77

3. 📐 Magnitudes: |u| = 12.20655562, |v| = 7.071067812

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -77/(12.20655562·7.071067812) = -0.8920980474

🔒 3 steps remaining

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