Question

Lines L_1 and L_2 are skew. Find the distance between them. L_1 : vec{r}(t) = langle 0, 6 + 6t, -2t angle L_2 : vec{r}(t) = langle 8 - 8t, 12t, 0 angle

          Lines L_1 and L_2 are skew. Find the distance between them.
L_1 : vec{r}(t) = langle 0, 6 + 6t, -2t 
angle
L_2 : vec{r}(t) = langle 8 - 8t, 12t, 0 
angle

Added by Raul W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Israel Hernandez

06/19/2022

Step 1

Given: \( L_1: \mathbf{r}(t) = (0, 6 + 6t, -2t) \) \( L_2: \mathbf{r}(t) = (8 - 8t, 12t, 0) \) The direction vectors of the lines are: \( \mathbf{B}_1 = (0, 6, -2) \) \( \mathbf{B}_2 = (-8, 12, 0) \) Taking the cross product of \( \mathbf{B}_1 \) and \( Show more…

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