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Vector help(Math T)
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Super Junior Member
Join Date: Aug 2012
Posts: 1
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The position vector of points A,B and C are a=4i-9j-k, b=i+3j+5k and c=pi-j+3k respectively.
(A) Find the value of p such that A,B and C are collinear. (B) If p=2, find the position vector of D so that ABCD is a parallelogram. Please help.....Thanks. 
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Vector help(Math T)
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Super Junior Member
Join Date: Jun 2012
Posts: 5
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if ABC is collinear , then points A, B and C lie on the same line
( Imagine a straight line consisting A,B and C ) x distance between A and B = y distance between B and C so, x(AB) = y(BC) x(OB - OA) = y(OC-OB) You solve it x(-3i + 12j + 6k) = y[(p-1)i - 4j - 2k] By comparing and solving the simultaneous equation, you will get x = -1/3, y = 1 Substitute both the values of x and y into -3x = y(p-1) you get p = 2 Hope my answer is correct
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Super Junior Member
Join Date: Jul 2012
Posts: 1
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hey guy, i get the same answer as yours....
but i wonder what do the k stand for... maybe constant or variable since alexander didnt mention about information for k... |
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