SOLUTION: Find the lengths of both altitudes in the parallelogram determined by [2, 3] and [−5, 7].

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Question 1154776: Find the lengths of both altitudes in the parallelogram determined by [2, 3] and [−5, 7].
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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HINT.  Vector product of these vectors, taken by modulus, is the area of this parallelogram.


       In other words, the area of this parallelogram is the modulus of the determinant comprised of these vectors.
 

The modulus of each of the two given vectors is the length of the corresponding base.


It gives you the way to calculate the corresponding altitudes.

Carefully explained.