Answer:
a) The vector equation
[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]
b) The vector equation
[tex]AB^{-} = -5i^{-} -2j^{-} -k^{-}[/tex]
Step-by-step explanation:
Step(i):-
a)
Given that the points are A( 6,5,7) and B = m = 2i+5j-k
OA = 6i+5j+7k and OB = 2i+5j-k
AB = OB-OA
= 2i+5j-k - (6i+5j+7k)
= 2i -6i +5j-5j-k-7k
= [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]
b)
Given that the points are A( 8,6,2) and B = (3,4,1)
OA = 8i+6j+2k and OB = 3i+4j+k
AB = OB-OA
= 3i+4j+k -(8i+6j+2k)
= 3i -8i +4j-6j+k-2k
= [tex]-5i^{-} -2j^{-} -k^{-}[/tex]
