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3D
Vector Class 12
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Example 26 - Write all unit vectors in XY-plane - Class 12 Vector
= 𝑖 ̂(1 − (-4)) − j ̂ (3 − 4) 𝑘 ̂ (−3 −1) = 𝑖 ̂(1 4) − j ̂ (−1) 𝑘 ̂ (−4) = 5𝒊 ̂ 𝒋 ̂ − 4𝒌 ̂Magnitude of 𝑎 ⃗ × 𝑏 ⃗ = √(52 1^2 (−4)2) |𝒂 ⃗ × 𝒃 ⃗ | = √(25 1 16) = √𝟒𝟐Area of parallelogram ABCD = |𝑎 ⃗ × 𝑏 ⃗ |
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