Let a and b be real numbers. Let L be the line defined as L :x = 3 – 3t, y = -5+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 /26. i) Find b. ii) Find the set of all values of a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let a and b be real numbers.
Let L be the line defined as
L : x = 3 – 3t, y = -5 + t, z = a + bt, te 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 /26.
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 = 3 – 3t, y = -5 + t, z = a + bt, te 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 /26. i) Find b. ii) Find the set of all values of a.
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