Talkin Consider in an orthonormal system (0; 1,j), the straight line (D) of equation: 2x-y+4 0, and the two points A(1; 2) and B(2; 3). 1) Give the directing vector, normal vector and the slope of (D). 2) Calculate the distance from the point B to the straight line (D). llel to (0)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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Talking:
Consider in an orthonormal system (0; t,j), the straight line (D) of equation: 2x-y+4=0, and the
two points A(1; 2) and B(2; 3).
1) Give the directing vector, normal vector and the slope of (D).
2) Calculate the distance from the point B to the straight line (D).
3) Write the system of parametric equations of straight line (D') passing through A and parallel to (D).
4) Write the Cartesian equation of the straight line (D") passing through B and perpendicular to (D).
X =-t
5) Let (A) be a straight line defined by: t
=t+1'
where t is a real parameter.
a. Show that (D) and (A) are secant.
b. Find the coordinates of I, their point of intersection.
TOSHIBA
of
Transcribed Image Text:A Edit oX Create Talking: Consider in an orthonormal system (0; t,j), the straight line (D) of equation: 2x-y+4=0, and the two points A(1; 2) and B(2; 3). 1) Give the directing vector, normal vector and the slope of (D). 2) Calculate the distance from the point B to the straight line (D). 3) Write the system of parametric equations of straight line (D') passing through A and parallel to (D). 4) Write the Cartesian equation of the straight line (D") passing through B and perpendicular to (D). X =-t 5) Let (A) be a straight line defined by: t =t+1' where t is a real parameter. a. Show that (D) and (A) are secant. b. Find the coordinates of I, their point of intersection. TOSHIBA of
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