How to solve this math problem about vector_2d?

1. 📝 Summary: u = (-2, 6), v = (-9, -6) 2. 🧮 Dot Product: u · v = -18

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Solve Find the angle between vectors a = (-2, 6) and b = (-9, -6). — Step-by-Step Solution by AhaStep | AhaStep

Home›Math›Solve Find the angle between vectors a = (-2, 6) and b = (-9, -6). — Step-by-Step Solution by AhaStep

📐 MathLevel 6 — 🔵 Intermediatevector_2d👁 16 views⏱ 1 min read

Solve Find the angle between vectors a = (-2, 6) and b = (-9, -6). — Step-by-Step Solution by AhaStep

📝 Problem

Find the angle between vectors a = (-2, 6) and b = (-9, -6).

1. 📝 Summary: v = (-9$ , -6)

2. 🧮 Dot Product: u · v = -18

3. 📐 Magnitudes: |u| = 6.32455532, |v| = 10.81665383

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -18/(6.32455532·10.81665383) = -0.2631174058

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1. 📝 Summary: v = (-9$ , -6)

2. 🧮 Dot Product: u · v = -18

3. 📐 Magnitudes: |u| = 6.32455532, |v| = 10.81665383

4. 🎯 Angle: cos(θ) = (u·v)/(|u|·|v|) = -18/(6.32455532·10.81665383) = -0.2631174058

🔒 3 steps remaining

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