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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 5963 Points
6 months 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
6 months 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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