How to solve this math problem about vector_2d?

1. 📝 Summary: u = (0, 3), v = (2, -3) 2. 🧮 Dot Product: u · v = -9

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Solve Find the angle between vectors a = (0, 3) and b = (2, -3). — Step-by-Step Solution by AhaStep | AhaStep

Home›Math›Solve Find the angle between vectors a = (0, 3) and b = (2, -3). — Step-by-Step Solution by AhaStep

📐 MathLevel 2 — 🟢 Basicvector_2d👁 16 views⏱ 1 min read

Solve Find the angle between vectors a = (0, 3) and b = (2, -3). — Step-by-Step Solution by AhaStep

📝 Problem

Find the angle between vectors a = (0, 3) and b = (2, -3).

1. 📝 Summary: v = (2$ , -3)

2. 🧮 Dot Product: u · v = -9

3. 📐 Magnitudes: |u| = 3, |v| = 3.605551275

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -9/(3·3.605551275) = -0.8320502943

🔒 3 steps remaining

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1. 📝 Summary: v = (2$ , -3)

2. 🧮 Dot Product: u · v = -9

3. 📐 Magnitudes: |u| = 3, |v| = 3.605551275

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -9/(3·3.605551275) = -0.8320502943

🔒 3 steps remaining

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Solve Find the angle between vectors a = (6, 5) and b = (-8, 1). — Step-by-Step Solution by AhaStep