The points A and B have position vectors j+2k and 2i+j-2k respectively. (i) Find a vector equation of the line I passing through the midpoint, M, of AB and the origin O. (ii) Find the position vector of a point N where N is the foot of the perpendicular from A to 1. (iii) Find the position vector of a point C such that AOCM is a parallelogram. (iv) Show that the points A, N and C are collinear. CO State, with a geometrical reason, the value of CM
The points A and B have position vectors j+2k and 2i+j-2k respectively. (i) Find a vector equation of the line I passing through the midpoint, M, of AB and the origin O. (ii) Find the position vector of a point N where N is the foot of the perpendicular from A to 1. (iii) Find the position vector of a point C such that AOCM is a parallelogram. (iv) Show that the points A, N and C are collinear. CO State, with a geometrical reason, the value of CM
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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![The points A and B have position vectors j+2k and 2i+j-2k respectively.
(i) Find a vector equation of the line I passing through the midpoint, M, of AB and the
origin O.
(ii) Find the position vector of a point N where N is the foot of the perpendicular from A
to 1.
(iii) Find the position vector of a point C such that AOCM is a parallelogram.
(iv) Show that the points A, N and C are collinear.
CO
State, with a geometrical reason, the value of
CM
[(i) 1:r=t 1
teR
(ii) ON =
(iii) OC
(iv) 1]
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0745e8af-2686-4263-9233-18206902ea23%2F0c95eda1-4dd6-40fc-b2f6-24e1fec51110%2Fo0dx3n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The points A and B have position vectors j+2k and 2i+j-2k respectively.
(i) Find a vector equation of the line I passing through the midpoint, M, of AB and the
origin O.
(ii) Find the position vector of a point N where N is the foot of the perpendicular from A
to 1.
(iii) Find the position vector of a point C such that AOCM is a parallelogram.
(iv) Show that the points A, N and C are collinear.
CO
State, with a geometrical reason, the value of
CM
[(i) 1:r=t 1
teR
(ii) ON =
(iii) OC
(iv) 1]
%3D
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