The vector equations of two lines are:r1= ai + (1 + a)j + (1 − a)kr2 = (2 + 2b)i + (3 + b)j + (−1 + b)kFind the values of a and b when the lines intersect, and hence writedown the (x, y, z) coordinates of the point of intersection
The vector equations of two lines are:r1= ai + (1 + a)j + (1 − a)kr2 = (2 + 2b)i + (3 + b)j + (−1 + b)kFind the values of a and b when the lines intersect, and hence writedown the (x, y, z) coordinates of the point of intersection
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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Question
The vector equations of two lines are:
r1= ai + (1 + a)j + (1 − a)k
r2 = (2 + 2b)i + (3 + b)j + (−1 + b)k
Find the values of a and b when the lines intersect, and hence write
down the (x, y, z) coordinates of the point of intersection
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