Question 995158: Two sides of a triangle are formed by the vector A=3i+6j-2k and vector B=4i-j+3k determine area of triangle Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Vectors/995158 (2015-10-08 06:10:24): Two sides of a triangle are formed by the vector A=3i+6j-2k and vector B=4i-j+3k determine area of triangle
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The magnitude of the cross product is the area of the parallelogram formed by A & B.
The triangle's area is 1/2 of that.
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Find AxB:
|i +j +k|
|3 +6 -2|
|4 -1 +3|
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--> i*(18-2) - j*(9+8) + k*(-3-24)
--> 16i - 17j - 27k
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Mag = sqrt(16^2 + 17^2 + 27^2) = sqrt(1274)
Area of triangle =
=~ 17.847 sq units
