2. Find the vector equations of the following lines: a. A=(6,5,7),m=2i+5j–k
b. A=(8,6,2),B=(3,4,1)

a) The vector equation

b) The vector equation

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

   =  

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

    =  

b

step-by-step explanation:

u take $75 minus $60.the anwer/original($75)multiply by 100