The diagonals of a parallelogram are 3i – 4j – k and 2i + 3j – 6k. Show that the parallelogram is a rhombus
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taking dot product
(3i-4j-k).(2i+3j-6k)
= 6-12+6
=0
hence diagonals are perpendicular to each other
and the parallelogram with diagonals intersecting at right angle is rhombus
hope this will help you
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