If the straight line joining the points (3, 4) and (2,-1) be parallel to the line joining the points (a, -2) and (4, -a), find the value of a.
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i dont know the answer to im sorry!
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OA = 21+j+4k, OB = (a-1)i+4j-k
So, AB = OBOA = (a-3)ī+3j-5k
Let OC = 2i+(b-1)
OD = 5i+3j-2k
CD=OD-OC = 5i+j+(-b−1)k
Given AB and CD are parallel.
AB = m CD
(a-3) 7+37-5k m(Si+j+(-b−1)k)
Equating vector(i,j,k) coefficient on both side
3-mm(-b-1) =-5 3(-6-1) =-5 ⇒-6-1
a - 3 = 5n x - 3 = 5(3) a - 3 = 15 a = 18 -b +1== -5+3
a= 18; b=
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