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.
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
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 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5012a3a-6eef-4a3c-ac9d-e8992e714720%2F004f28ab-2e53-4a0c-a69f-99ffa14d1658%2Fh4c0tf_processed.jpeg&w=3840&q=75)
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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