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The diagonals of a parallelogram are given by A = 3i -4j -k and B = 2i +3j - 6k. Show that the parallelogram is a rhombus and determine the length of its sides and its angles.

The diagonals of a parallelogram are given by A = 3i -4j -k and B = 2i +3j - 6k. Show that the parallelogram is a rhombus and determine the length of its sides and its angles.

Grade:12th pass

2 Answers

Harshit Singh
askIITians Faculty 5964 Points
one year ago
Dear Student

A.B= dot product of A and B = 0
hence, A and B are perpendicular
Since,Diagonals are perpendicular,The given shape is rhombus as it is the property of rhombus that the diagonals of rhombus bisect perpendicularly

Thanks
Yashraj
915 Points
one year ago
Practice previous year questions many times..
Appear for a test series and analyse it properly (Giving 2–3 hours)
Revise your notes multiple times till they enter your soul :)
Find your strong points and chapters, work on them..
Solve other people’s doubts. It makes your own concepts very clear

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