can you do part a only? 10 The points A and B have position vectors, relative to the origin O, given byOA = i+ 2j + 3k and OB = 2i +j+ 3k.The line I has vector equation3(1-20)i + (5 + oj+ (2 – t)k.(i) Show that I does not intersect the line passing through A and B.(ii) The point P lies on I and is such that angle PAB is equal to 60°.Given that the position vector of P is (1- 20)i + (5+ t)j + (2 – t)k,show that 3t2 +7t+2 0. Hence find the only possible positionvector of P.n atiou al 4S & 4 I cucl MMathematics

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Description: can you do part a only? 10 The points A and B have position vectors, relative to the origin O, given byOA = i+ 2j + 3k and OB = 2i +j+ 3k.The line I has vector equation3(1-20)i + (5 + oj+ (2 – t)k.(i) Show that I does not intersect the line passing t

Given the position vectors of the points A and B relative to the origin as:…

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The points A and B have position vectors, relative to the origin O, given by OA = i+ 2j + 3k and OB = 2i +j+ 3k. The line I has vector equation = (1 – 21)i + (5 + )j+ (2 – t)k. (i) Show that I does not intersect the line passing through A and B.

The points A and B have position vectors, relative to the origin O, given by OA = i+ 2j + 3k and OB = 2i +j+ 3k. The line I has vector equation = (1 – 21)i + (5 + )j+ (2 – t)k. (i) Show that I does not intersect the line passing through A and B.

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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can you do part a only?

10 The points A and B have position vectors, relative to the origin O, given by
OA = i+ 2j + 3k and OB = 2i +j+ 3k.
The line I has vector equation
3(1-20)i + (5 + oj+ (2 – t)k.
(i) Show that I does not intersect the line passing through A and B.
(ii) The point P lies on I and is such that angle PAB is equal to 60°.
Given that the position vector of P is (1- 20)i + (5+ t)j + (2 – t)k,
show that 3t2 +7t+2 0. Hence find the only possible position
vector of P.
n atiou al 4S & 4 I cucl MMathematics

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