MATH 2551-G MIDTERM 3
VERSION A SUMMER 2025
|u x v| - ANS--- area of a parallelogram
|u||v||sinθ| - ANS--- alternate area of a parallelogram
|(u x v)•w| - ANS--- volume of a parallelepiped
d=|PS x v|/|v| - ANS--- distance from a point to a line
d=|PS•n|/|n| - ANS--- distance from a point to a plane
arccos(n1•n2/|n1||n2|) - ANS--- angle between planes
(VoSina)^2/2g - ANS--- max height
2VoSina/g - ANS--- flight time
Vo^2sin2a/g - ANS--- range
d|v|/dt - ANS--- tangential acceleration (at)
sqrt(|a|^2-at^2) - ANS--- normal acceleration (an)
|1/vt|*|dT/dt| - ANS--- curvature (K)
T=Vt/|vt| - ANS--- Unit tangent vector (t)
T x N - ANS--- unit binormal (B)
|v x a|/|v|^3 - ANS--- curvature (K) alternate
det (d/dx, d^2/dx2, d^3/dx3) - ANS--- Torsian (τ)
VERSION A SUMMER 2025
|u x v| - ANS--- area of a parallelogram
|u||v||sinθ| - ANS--- alternate area of a parallelogram
|(u x v)•w| - ANS--- volume of a parallelepiped
d=|PS x v|/|v| - ANS--- distance from a point to a line
d=|PS•n|/|n| - ANS--- distance from a point to a plane
arccos(n1•n2/|n1||n2|) - ANS--- angle between planes
(VoSina)^2/2g - ANS--- max height
2VoSina/g - ANS--- flight time
Vo^2sin2a/g - ANS--- range
d|v|/dt - ANS--- tangential acceleration (at)
sqrt(|a|^2-at^2) - ANS--- normal acceleration (an)
|1/vt|*|dT/dt| - ANS--- curvature (K)
T=Vt/|vt| - ANS--- Unit tangent vector (t)
T x N - ANS--- unit binormal (B)
|v x a|/|v|^3 - ANS--- curvature (K) alternate
det (d/dx, d^2/dx2, d^3/dx3) - ANS--- Torsian (τ)
