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Let a and b be real numbers. Let L be the line defined as L:x = 8 – 8t, y= -15 +t, z=a+ bt, teR Let D be the plane defined as D: 4x + 3y + z = 7. Suppose that • Lis parallel to D. • The distance between L and D is V26. i) Find b. ii) Find the set of all values of a.

Let a and b be real numbers. Let L be the line defined as L:x = 8 – 8t, y= -15 +t, z=a+ bt, teR Let D be the plane defined as D: 4x + 3y + z = 7. Suppose that • Lis parallel to D. • The distance between L and D is V26. i) Find b. ii) Find the set of all values of a.

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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Let a and b be real numbers. Let L be the line defined as L:x = 8 – 8t, y= -15+t, z= a+ bt, t E R Let D be the plane defined as D: 4x + 3y + z = 7. Suppose that Lis parallel to D. The distance between L and D is v26. i) Find b. ii) Find the set of all values of a. O i) 29, ii) (46, -6} O i) 29, ii) (46} O i) 29, ii) {-6} O i) 29, ii) (36, -16} О) 13, i) (46, -6) О) 13, i) (36, -16} O i) 13, ii) {36} O i) 13, ii) {-16}
Transcribed Image Text:Let a and b be real numbers. Let L be the line defined as L:x = 8 – 8t, y= -15+t, z= a+ bt, t E R Let D be the plane defined as D: 4x + 3y + z = 7. Suppose that Lis parallel to D. The distance between L and D is v26. i) Find b. ii) Find the set of all values of a. O i) 29, ii) (46, -6} O i) 29, ii) (46} O i) 29, ii) {-6} O i) 29, ii) (36, -16} О) 13, i) (46, -6) О) 13, i) (36, -16} O i) 13, ii) {36} O i) 13, ii) {-16}
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