The points P and Q have position vectors -3i –j+17k and 8i+9j+2k respectively when referred from the origin O. (a) Evaluate OP 0Q and OP×0Q. (b) Find the position vector of the point R if (i) R is the mid-point of PQ; (ii) R lies on the line segment PQ such that PR: RQ = 2:3; (iii) R lies on PQ produced so that PR:QR = 3:2. (-155 30 1 [(a) 1, 142 2(b)(i) 8 (ii) 3 (iii) 29 -19 19 -28

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The points P and Q have position vectors -3i-j+17k and 8i +9j+2k respectively
when referred from the origin O.
(а)
Evaluate OP · OQ and OP×
(b)
Find the position vector of the point R if
(i)
R is the mid-point of PQ;
(ii)
R lies on the line segment PQ such that PR:RQ = 2:3;
R lies on PQ produced so that PR:QR = 3:2.
-155
1, 142 2(b)(i)
(iii)
30
[(a)
8
(ii)
3
(iii)
29 )
-19
19
-28
Transcribed Image Text:The points P and Q have position vectors -3i-j+17k and 8i +9j+2k respectively when referred from the origin O. (а) Evaluate OP · OQ and OP× (b) Find the position vector of the point R if (i) R is the mid-point of PQ; (ii) R lies on the line segment PQ such that PR:RQ = 2:3; R lies on PQ produced so that PR:QR = 3:2. -155 1, 142 2(b)(i) (iii) 30 [(a) 8 (ii) 3 (iii) 29 ) -19 19 -28
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