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teachoo.com
Example 6 - Line through (5, 2, -4), parallel to 3i 2j - 8k
Example 6 Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3𝑖 ̂ 2𝑗 ̂ – 8𝑘 ̂ . Vector equationEquation of a line passing through a point with position vector 𝑎 ⃗ , and parallel to a vector 𝑏 ⃗ is 𝒓 ⃗ = 𝒂 ⃗ 𝜆𝒃 ⃗S
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