The two adjacent sides of a parallelogram are 2-4-5 k and -2-3 k- Find the unit vectors parallel to both the diagonals- Also- find the area of parallelogram-

Let #160; #160;Now #160; #160;Again, the area of the parallelogram is ...

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Standard XII

Mathematics

Applications of Cross Product

The two adjac...

Question

The two adjacent sides of a parallelogram are $2^i - 4^j + 5 ˆ k$ and $^i - 2^j - 3 ˆ k$ . Find the unit vectors parallel to both the diagonals. Also, find the area of parallelogram.

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Solution

Let
Now
Again, the area of the parallelogram is

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The two adjacent sides of a parallelogram are 2^i−4^j+5ˆk and ^i−2^j−3ˆk. Find the unit vectors parallel to both the diagonals. Also, find the area of parallelogram.

LetNowAgain, the area of the parallelogram is

The two adjacent sides of a parallelogram are $2^i - 4^j + 5 ˆ k$ and $^i - 2^j - 3 ˆ k$ . Find the unit vectors parallel to both the diagonals. Also, find the area of parallelogram.

Let
Now
Again, the area of the parallelogram is