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Properties of Diagonal of a Parallelogram

Two adjacent ...

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Two adjacent sides of a parallelogram are 2i - 4j+ 5k and i - 2j - 3k. The unit vector parallel to its diagonal is?

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Q. The two adjacent sides of a parallelogram,

\to a = 2 i + 4 j - 5 k

\to b = i + 2 j + 3 k

, then find the unit vector parallel to its diagonal.

Q. The two adjacent sides of a parallelogram are

2 \hat{i} - 4 \hat{j} - 5 \hat{k} and 2 \hat{i} + 2 \hat{j} + 3 \hat{k}

. Find the two unit vectors parallel to its diagonals. Using the diagonal vectors, find the area of the parallelogram.

Q. The two adjacent sides of a parallelogram are

2 \hat{i} - 4 \hat{j} + 5 \hat{k} and \hat{i} - 2 \hat{j} - 3 \hat{k} .

Find the unit vector parallel to one of its diagonals. Also, find its area.

Q. The adjacent sides of a parallelogram are

2 i + 4 ¯ j - 5 ¯ ¯ ¯ k

i + 2 ¯ j + 3 ¯ ¯ ¯ k

then the unitvector parallel to a diagonal is

Q. The sides of a parallelogram are

2 i + 4 j - 5 k

i + 2 j + 3 k .

Find the unit vectors parallel to the diagonals.

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Properties of Diagonal of a Parallelogram

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