The point P( p, q, 1) lies on the line L with vector equation r = i
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The point P( p, q, −1) lies on the line L with vector equation r = i − j + 2k + λ(i + 8j + k).
a. Find the value of each of the constants p and q.
b. The position vector of Q, relative to the origin O is OQvector.
i. Find the unit vector in the direction OQ.
ii. Find angle POQ and hence find the exact area of triangle POQ.
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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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