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e are given lines l = (7, 0, 1) + X(2, 1, −2) and q:x+3=4 - 4y = 20 – 4z. a) Find the intersection of lines & and q.

e are given lines l = (7, 0, 1) + X(2, 1, −2) and q:x+3=4 - 4y = 20 – 4z. a) Find the intersection of lines & and q.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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  1. Wearegivenlinesl=(7,0,1)+λ(2,1,−2)andq:x+3=4−4y=20−4z.

    1. (a)  Find the intersection of lines l and q.

    2. (b)  Find the equation of the plane containing lines l and q.

    3. (c)  Compute the angle between lines l and q.
      Hint: The angle between two vectors can be obtained from the equation cos φ =

      ⃗v1 ·⃗v2 .

      |⃗v1 |·|⃗v2 |

We are given lines l = (7,0,1)+(2, 1, −2) and q : x + 3 = 4 - 4y = 20 - 4z. (a) Find the intersection of lines l and q. (b) Find the equation of the plane containing lines & and q. (c) Compute the angle between lines & and q. Hint: The angle between two vectors can be obtained from the equation cos y = V1 V₂ |U1|·|V₂|*
Transcribed Image Text:We are given lines l = (7,0,1)+(2, 1, −2) and q : x + 3 = 4 - 4y = 20 - 4z. (a) Find the intersection of lines l and q. (b) Find the equation of the plane containing lines & and q. (c) Compute the angle between lines & and q. Hint: The angle between two vectors can be obtained from the equation cos y = V1 V₂ |U1|·|V₂|*
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