L is parallel to D. The distance between L and D is /53.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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, teR
Let D be the plane defined as D : 6x + 4y + z = 10.
Suppose that
L is parallel to D.
• The distance between L and D is V53.
i) Find b.
ii) Find the set of all values of a.
Türkçe:
a ve b reel sayılar olmak üzere
L doğrusu ve D düzleminin denklemi aşağıdaki şekilde verilmiş olsun:
L : x = 3 – 3t, y = -5+t, z= a + bt, t E R
D : 6x + 4y + z = 10.
• L doğrusu D düzlemine paralel ve
• L ve D arasındaki uzaklık V53 ise
i) b değerini bulunuz.
i) a nın alabileceği tüm değerler kümesini bulunuz.
O i) 14, ii) {65, -41}
O i) 14, ii) {65}
O i) 14, ii) {-41}
i) 14, ii) {59, -47}
i) 5, ii) {65, -41}
O i) 5, ii) {59, -47}
O i) 5, ii) {59}
O i) 5, ii) {-47}
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, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that L is parallel to D. • The distance between L and D is V53. i) Find b. ii) Find the set of all values of a. Türkçe: a ve b reel sayılar olmak üzere L doğrusu ve D düzleminin denklemi aşağıdaki şekilde verilmiş olsun: L : x = 3 – 3t, y = -5+t, z= a + bt, t E R D : 6x + 4y + z = 10. • L doğrusu D düzlemine paralel ve • L ve D arasındaki uzaklık V53 ise i) b değerini bulunuz. i) a nın alabileceği tüm değerler kümesini bulunuz. O i) 14, ii) {65, -41} O i) 14, ii) {65} O i) 14, ii) {-41} i) 14, ii) {59, -47} i) 5, ii) {65, -41} O i) 5, ii) {59, -47} O i) 5, ii) {59} O i) 5, ii) {-47}
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