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Question: The diagonals of a parallelogram are \(2 ⥂ \widehat{i}\) and \(2\widehat{j}.\) What is the area of t...

The diagonals of a parallelogram are 2⥂i^2 ⥂ \widehat{i} and 2j^.2\widehat{j}. What is the area of the parallelogram

A

0.5 units

B

1 unit

C

2 units

D

4 units

Answer

4 units

Explanation

Solution

Area =∣2i^×2j^∣=∣4k^∣=4unit.= \left| 2\widehat{i} \times 2\widehat{j} \right| = \left| 4\widehat{k} \right| = 4unit.