The straight line l has the following vector equation: r = -2 i - 12 j -
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Question:
The straight line l has the following vector equation: r = -2 i - 12 j - 9 k + λ( I + 3 j + 2 k ),
Where λ is a scalar parameter.
The point P(a, b, 3) lies on l ,
(i) Find the value of each of the scalar constants a and b.
The point O represents a fixed origin,
The point Q lies on l , so that OQ is perpendicular to l .
(ii) Show that the coordinates of Q are (2,0,-1).
(iii) Find the exact area of the triangle OPQ.
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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