The equations of two straight lines are r =i+ 4j – 2k + 2(i+ 3k) and r = ai + 2j – 2k + µ(i + 2j + 3ak), where a is a constant.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The equations of two straight lines are
r = i+ 4j – 2k + a(i + 3k) and
r = ai + 2j – 2k + µ(i + 2j + 3ak),
where a is a constant.
(i) Show that the lines intersect for all values of a.
(ii) Given that the point of intersection is at a distance of 9 units from the origin, find the possible
values of a.
Transcribed Image Text:The equations of two straight lines are r = i+ 4j – 2k + a(i + 3k) and r = ai + 2j – 2k + µ(i + 2j + 3ak), where a is a constant. (i) Show that the lines intersect for all values of a. (ii) Given that the point of intersection is at a distance of 9 units from the origin, find the possible values of a.
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