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Adina Institute of Science and technology

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Adina Institute of Science and technology Maths

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)

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=2 The value of a is 2.(ans.)