The lines / and m have equations r 3i- 2j+ k+1(-i+2j + k) and r 4i + 4j +2k + u(ai+ bj- k) respectively, where a and b are constants. (i) Given that I and m intersect, show that 2a - b = 4. (ii) Given also that I and m are perpendicular, find the values of a and b. (iii) When a and b have these values, find the position vector of the point of intersection of I and m.
The lines / and m have equations r 3i- 2j+ k+1(-i+2j + k) and r 4i + 4j +2k + u(ai+ bj- k) respectively, where a and b are constants. (i) Given that I and m intersect, show that 2a - b = 4. (ii) Given also that I and m are perpendicular, find the values of a and b. (iii) When a and b have these values, find the position vector of the point of intersection of I and m.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...
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