1. Adina Institute of Science and technology
Maths

2. Solve-Given ABCD are point(a,3,-1) (3,5,-3) (1,2,3) and (3,5,7)
Question of mathes
Question- ABCD are points (a,3,-1) (3,5,-3) (1,2,3) and(3,5,7) respectively. If AB is perpendicular to CD then find the value of a.
Solve-Given ABCD are point(a,3,-1) (3,5,-3) (1,2,3) and (3,5,7)
And AB perpendicular to CD
Now, condition for perpendicular=a1a2+b1b2+c1c2=0
= (a-3,3-5,-1-3) (3- 1,5-2,7-3)
= (a-3,-2 ,2) (2,3,4)

3. AB perpendicular CD =a1a2+b1b2+c1c2=0
Where, a1a2a3= (a-3,-2, 2)
And b1b2b3= (2, 3, 4)
So, according to condition=2(a-3)-6+8=0
=2(a-3)-2=0
a= The value of a is 2.(ans.)