Answer :

the vertices of the parallelogram be A(3, 4, -3), B(7, 10, -3) and C(5, -2, 7), and the fourth coordinate be D(a,b,c).


the property of parallelogram is the diagonal bisect each other. Therefore,


diagonal AC and BD will bisect each other, and the bisecting point will be equal to the two diagnals. By using section formula, we get


, where m and n are 1 and 1.


Finding the coordinate of mid point of diagonal AC,



= (4,1,2)


Now, Finding the coordinate of mid point of diagonal BD,




Equating the two mid points, we get


. Thus,





Therefore,


8 = a + 7


a = 1


b + 10 = 2


b = -8


and


c = 7


therefore the point is ( 1, -8, 7).


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The ratio in whicRD Sharma - Mathematics

The ratio in whicRD Sharma - Mathematics

If a parallelepipRD Sharma - Mathematics

Two vertices of aRS Aggarwal - Mathematics

If the origin is RS Aggarwal - Mathematics

If the three consRS Aggarwal - Mathematics

Find the ratio inRD Sharma - Mathematics

Write the coordinRD Sharma - Mathematics

Find the coordinaRD Sharma - Mathematics

Find the centroidRD Sharma - Mathematics