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.

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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.

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Question Text

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.

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