Three points A, B and C have position vectors i+j+k, i+2k, 3i+2j+3k respectively relative to a fixed point O. A particle P starts from B at time t = 0 and moves along BC towards C with constant speed 1 unit per second. Find the position of P after 3 seconds: (a) relative to , (b) relative to A and find cos 0 if ZPAB = 0.
Three points A, B and C have position vectors i+j+k, i+2k, 3i+2j+3k respectively relative to a fixed point O. A particle P starts from B at time t = 0 and moves along BC towards C with constant speed 1 unit per second. Find the position of P after 3 seconds: (a) relative to , (b) relative to A and find cos 0 if ZPAB = 0.
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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Transcribed Image Text:Three points A, B and C have position vectors i+j+k, i+2k, 3i+2j+3k
respectively relative to a fixed point O. A particle P starts from B at
time t = 0 and moves along BC towards C with constant speed 1 unit per
second. Find the position of P after 3 seconds:
(a) relative to O,
(b) relative to A and find cos 0 if ZPAB = 0.
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