How do I find the area of a triangle with two sides given by a = <1,3,-1> and b = <2,-1,2>? Thank you.
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Originally Posted by henrymath How do I find the area of a triangle with two sides given by a = <1,3,-1> and b = <2,-1,2>? Thank you. what does $\displaystyle |\vec{a} \times \vec{b}|$ get you?
Originally Posted by skeeter what does $\displaystyle |\vec{a} \times \vec{b}|$ get you? I get a x b = 5i - 4j - 7k
Originally Posted by henrymath I get a x b = 5i - 4j - 7k the magnitude of the cross product of two vectors is the area of the parallelogram formed with the two vectors as adjacent sides. triangle area = 1/2 parallelogram area
Originally Posted by skeeter the magnitude of the cross product of two vectors is the area of the parallelogram formed with the two vectors as adjacent sides. triangle area = 1/2 parallelogram area Thanks. my answer was 1/2 sqrt 90.
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