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A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= 8 6 2 (ii) Write down a vector equation for L₁. A line L, has equation r = 7 3-0 -4 (b) Show that the coordinates of Care (-1, 1, 2). (c) A point D lies on line L, so that CD =√18 and The lines L, and L, intersect at a point C. CA CD=-9. Find CD= √18 and CA.CD=-9. Find ACD. ACD.

A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= 8 6 2 (ii) Write down a vector equation for L₁. A line L, has equation r = 7 3-0 -4 (b) Show that the coordinates of Care (-1, 1, 2). (c) A point D lies on line L, so that CD =√18 and The lines L, and L, intersect at a point C. CA CD=-9. Find CD= √18 and CA.CD=-9. Find ACD. ACD.

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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A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= -0 8 2 (ii) Write down a vector equation for L₁. 0 A line L, has equation r = 7+s The lines L, and L, intersect at a point C. -4 (b) Show that the coordinates of Care (-1, 1, 2). (c) A point D lies on line L, so that CD |CD|=√18 and CA CD=-9. Find ACD.
Transcribed Image Text:A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= -0 8 2 (ii) Write down a vector equation for L₁. 0 A line L, has equation r = 7+s The lines L, and L, intersect at a point C. -4 (b) Show that the coordinates of Care (-1, 1, 2). (c) A point D lies on line L, so that CD |CD|=√18 and CA CD=-9. Find ACD.
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