Show that the points with position vectors 3i-5j, 4į+j, 6¿+13j are collinear. If the point whose position vector is 5ai + 7aj is also on the line, find the value of a.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.16P: What surface is represented by r a = const, that is described if a is a vector of constant...
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Question 11
(xo + A cos a, Yo + A sin a), where A is a parameter.
(11) Show that the points with position vectors 3i-5j, 4i+j, 6¿+13j
are collinear. If the point whose position vector is 5ai +7aj is
also on the line, find the value of a.
(12) Find the nosition voctor of the point of intorsection of the line
Transcribed Image Text:(xo + A cos a, Yo + A sin a), where A is a parameter. (11) Show that the points with position vectors 3i-5j, 4i+j, 6¿+13j are collinear. If the point whose position vector is 5ai +7aj is also on the line, find the value of a. (12) Find the nosition voctor of the point of intorsection of the line
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