Mathematics Part-II

Book: Mathematics Part-II

Chapter: 10. Vector Algebra

Subject: Maths - Class 12th

Q. No. 10 of Miscellaneous Exercise

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10

The two adjacent sides of a parallelogram are and . Find the unit vector parallel to its diagonal. Also, find its area.

Given: Two adjacent sides of a parallelogram are


Then the diagonal of parallelogram is given by the resultant of .


Let the diagonal is .


Then





Then





unit vector parallel to its diagonal is


And area of parallelogram ABCD is







Hence, area of parallelogram ABCD is .


10

Chapter Exercises

More Exercise Questions

4

If , then is it true that ? Justify your answer.