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 OQ^vector.

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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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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Question Posted: Apr 09, 2023 05:33 AM

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The point P( p, q, 1) lies on the line L with vector equation r = i

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a To find the value of p and q we can equate the coordinates of point P with the coordinates of a po...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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