Q .51. - Calculus | StudyQuestionHub

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Q .51.

Question

. Find values for α such that the lines determined by

$r_{1} (t) = <4 - t_{t} - 6 + 2 t, 6 + 5 t> and$

$r_{2} (t) = ⟨ α t, 2 - 2 α t, 3 + 15 t ⟩$

are (a) parallel and (b) orthogonal.

Step-by-Step Solution

Verified

Answer

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1Step 2:Given information

The lnes

$r_{1} (t) = <4 - t_{t} - 6 + 2 t, 6 + 5 t> and$ $r_{2} (t) = ⟨ α t, 2 - 2 α t, 3 + 15 t ⟩$

2Step 2:Calculation

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