Given vectors a and care parallel to each other and cx b=1+2/+k, express-a + 2b + 2cx (a-2b) in L. J and k. The position vectors are given by OR = 21+5J+ak, OS=1+J-2k and OT =31-2/+Bk, where O is the origin and a and are constants. Find the values of a and B such that SR x ST = 331 - 11k.

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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QUESTION 3
a) Given vectors a and c are parallel to each other and cx b=1+2/+k, express-a + 2b +
2cx (a-2b) in i, j and k.
b) The position vectors are given by OR = 21+5j+ak, OS=l+j-2k and OT=31-2) + Bk, where O
is the origin and a and are constants.
i Find the values of a and B such that SR x ST = 331 - 11k
ii
Hence, find the value of ZRST.
Transcribed Image Text:QUESTION 3 a) Given vectors a and c are parallel to each other and cx b=1+2/+k, express-a + 2b + 2cx (a-2b) in i, j and k. b) The position vectors are given by OR = 21+5j+ak, OS=l+j-2k and OT=31-2) + Bk, where O is the origin and a and are constants. i Find the values of a and B such that SR x ST = 331 - 11k ii Hence, find the value of ZRST.
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