Find the Area of a Triangle Using the Determinant

Find the Area of a Triangle Using the Determinant

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Thank you:)

[Danny-qlit]

Can you make a video comparing algebra OR calculus TO geometry and what you think is harder and more challenging when solving problems

[jan-willemreens]

...I'm pleasantly surprised to see that determinants are being applied, in this case for calculating the area of a triangle: A=0.5(base)(hight). I just need to figure out why this works, because I don't like to just learn methods that I don't immediately understand! But I have to admit it looks surprisingly elegant. I've always found determinants a little intimidating and inscrutable and still do! In this case, for example, I would use the Distance Formula a number of times. But thank you very much for this instructive presentation, Math Sorcerer! Jan-W

[PuzzlingChap]

Math Sorcerer, why does anything to the 0 power equal 1?? I majored in chemistry and Ive never understood this

[joelentrup]

Hello, I sent an email to you, could you please respond to it whenever possible?