12 If the position vectors of P and Q are i+3j- 7k and 5i - 2j + 4k respectively, find PQ and determine its direction cosines.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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can you please assist me with working these two questions

12 If the position vectors of P and Q are i+ 3j – 7k and 5i – 2j + 4k
respectively, find PQ and determine its direction cosines.
13 If position vectors, OA, OB, OC, are defined by OA = 2i – j+ 3k,
OB = 3i + 2j - 4k, OC = -i+ 3j – 2k, determine:
(a) the vector AB
(b) the vector BC
(c) the vector product AB x BC
(d) the unit vector perpendicular to the plane ABC.
%3D
Transcribed Image Text:12 If the position vectors of P and Q are i+ 3j – 7k and 5i – 2j + 4k respectively, find PQ and determine its direction cosines. 13 If position vectors, OA, OB, OC, are defined by OA = 2i – j+ 3k, OB = 3i + 2j - 4k, OC = -i+ 3j – 2k, determine: (a) the vector AB (b) the vector BC (c) the vector product AB x BC (d) the unit vector perpendicular to the plane ABC. %3D
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