Consider two vector equations ℓ1 : ⟨x, y, z⟩ = ⟨3, 7, 4⟩ + t⟨2, 3, 1⟩, for some parameter t, ℓ2 : ⟨x, y, z⟩ = ⟨−1, 1, 2⟩ + t⟨3,9/2,3/2⟩ for some parameter t. Are ℓ1 and ℓ2 represent parallel lines? If you say yes, then justify your answer. If you say no, then justify your answer.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Consider two vector equations
ℓ1 : ⟨x, y, z⟩ = ⟨3, 7, 4⟩ + t⟨2, 3, 1⟩, for some parameter t,
ℓ2 : ⟨x, y, z⟩ = ⟨−1, 1, 2⟩ + t⟨3,9/2,3/2⟩
for some parameter t.
Are ℓ1 and ℓ2 represent parallel lines?
If you say yes, then justify your answer.
If you say no, then justify your answer.

Expert Solution
Step 1

Check the Ratio of direction ratios of both the lines. 

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