The two adjacent sides of a parallelogram are 2 -4 -5 k- and -2 -3 k- Find the unit vector parallel to its diagonal- Also- find its area-

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Standard VIII

Mathematics

Formula for Area of Parallelogram

The two adjac...

Question

The two adjacent sides of a parallelogram areand .

Find the unit vector parallel to its diagonal. Also, find its area.

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Solution

Adjacent sides of a parallelogram are given as: and

Then, the diagonal of a parallelogram is given by.

Thus, the unit vector parallel to the diagonal is

Area of parallelogram ABCD =

Hence, the area of the parallelogram issquare units.

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

Adjacent sides of a parallelogram are given as: and Then, the diagonal of a parallelogram is given by. Thus, the unit vector parallel to the diagonal is Area of parallelogram ABCD = Hence, the area of the parallelogram issquare units.

The two adjacent sides of a parallelogram areand .

Find the unit vector parallel to its diagonal. Also, find its area.

Adjacent sides of a parallelogram are given as: and

Then, the diagonal of a parallelogram is given by.

Thus, the unit vector parallel to the diagonal is

Area of parallelogram ABCD =

Hence, the area of the parallelogram issquare units.