Answer to Question #253836 in Electricity and Magnetism for Vitalis
Input data: ax=3, ay=5, az=0, bx=0, by=3, bz=2, cx=5, cy=0, cz=2.
Three points are given with their coordinates. Calculate the data below:
a, The distance between points A and B (dAB).
b, The area of triangle ABC (AABC).
c, The orthogonal projection of vector
r AB
to line AC
à ¯ ¨ à ¯ © ABà ¯
r .
d, The angle between vectors
r AB
and
r AC
(Ã ±BAC).
e, The unit vectors that are perpendicular to the plane of triangle ABC (
e1 , e 2
).
1
2021-10-20T10:38:56-0400
a. The distance:
"dAB=\\sqrt{(b_x-a_x)^2+(b_y-a_y)^2+(b_z-a_z)^2},\\\\\ndAB=4.12."
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