Suppose that P is a point on the line AB such that AP = k AB , where k is a constant. a Show on a diagram the position of P relative to A and B if: i k> 1 b Find the value of k for which: i AP = }PB ii 0 < k < 1 iii k < 0 ii AP = -PB iii AP = -PB %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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17 Suppose that P is a point on the line AB such that AP
a Show on a diagram the position of P relative to A and B if:
i k> 1
k AB , where k is a constant.
ii 0 < k < 1
iii k < 0
b Find the value of k for which:
i AP = {PB
ii AP
-{PB
iii AP =
-PB
Transcribed Image Text:17 Suppose that P is a point on the line AB such that AP a Show on a diagram the position of P relative to A and B if: i k> 1 k AB , where k is a constant. ii 0 < k < 1 iii k < 0 b Find the value of k for which: i AP = {PB ii AP -{PB iii AP = -PB
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