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Ex5) In an orthonormal system (O , 7,j),given the points A ,B ,C ,1 ,E and G I is the midpoint of [AB] and E is that of [BC] 1)Use the figure a) Find the coordinates of the points A ,B ,C and I b) Find the equations of the lines (AB) and (CI) 2) Show that the coordinates of E are (4;) 4. 3)The lines (CI) and (AE) intersects at G E a) Find the equations of the lines (AE) G b) Deduce the coordinates ofG -1 5) a) What does G represent in the triangle ABC? -1- b) Deduce again the coordinates of G B.

Ex5) In an orthonormal system (O , 7,j),given the points A ,B ,C ,1 ,E and G I is the midpoint of [AB] and E is that of [BC] 1)Use the figure a) Find the coordinates of the points A ,B ,C and I b) Find the equations of the lines (AB) and (CI) 2) Show that the coordinates of E are (4;) 4. 3)The lines (CI) and (AE) intersects at G E a) Find the equations of the lines (AE) G b) Deduce the coordinates ofG -1 5) a) What does G represent in the triangle ABC? -1- b) Deduce again the coordinates of G B.

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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Ex5) In an orthonormal system (O , 7 ,j).given the points A ,B ,C ,I ,E and G I is the midpoint of [AB] and E is that of [BC] 1)Use the figure a) Find the coordinates of the points A ,B ,C and I b) Find the equations of the lines (AB) and (CI) 2) Show that the coordinates of E are (4; 2) 3)The lines (CI) and (AE) intersects at G E a) Find the equations of the lines (AE) b) Deduce the coordinates of G 5) a) What does G represent in the triangle ABC? B b) Deduce again the coordinates of G
Transcribed Image Text:Ex5) In an orthonormal system (O , 7 ,j).given the points A ,B ,C ,I ,E and G I is the midpoint of [AB] and E is that of [BC] 1)Use the figure a) Find the coordinates of the points A ,B ,C and I b) Find the equations of the lines (AB) and (CI) 2) Show that the coordinates of E are (4; 2) 3)The lines (CI) and (AE) intersects at G E a) Find the equations of the lines (AE) b) Deduce the coordinates of G 5) a) What does G represent in the triangle ABC? B b) Deduce again the coordinates of G
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