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Let a and b be real numbers. Let L be the line defined as L : x = 7 – 7t, y = -13 +t, z = a + bt, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that • Lis parallel to D. • The distance between L and D is V53. 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 = 7 – 7t, y = -13 +t, z = a + bt, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that • Lis parallel to D. • The distance between L and D is V53. 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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i) 38, ii) {73, -33} i) 38, ii) {73} i) 38, ii) {-33} i) 38, ii) {63, -43} i) 17, ii) {73, -33} i) 17, ii) {63, -43} i) 17, ii) {63} i) 17, ii) {-43}
Transcribed Image Text:i) 38, ii) {73, -33} i) 38, ii) {73} i) 38, ii) {-33} i) 38, ii) {63, -43} i) 17, ii) {73, -33} i) 17, ii) {63, -43} i) 17, ii) {63} i) 17, ii) {-43}
Let a and b be real numbers. Let L be the line defined as L : x = 7 – 7t, y = -13 +t, z = a + bt, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that • Lis parallel to D. • The distance between L and D is V53. i) Find b. ii) Find the set of all values of a.
Transcribed Image Text:Let a and b be real numbers. Let L be the line defined as L : x = 7 – 7t, y = -13 +t, z = a + bt, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that • Lis parallel to D. • The distance between L and D is V53. i) Find b. ii) Find the set of all values of a.
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