Multivariable Calculus Exam 1
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10 Terms
|| a x b ||
||a|| ||b|| sinx
Closest point to P on mx + b = y
Q + ProjdQP
Shortest distance from P to mx + b = y
|| P - (Q + ProjdQP) ||
Distance from P to ax + by + cz
ProjnQP
Shortest distance from P to ax + by = c
Form parametric equation (P + nt) = <x, y>, plug into original equation, solve for t, plug into <x, y> to find closest point (R), and find magnitude of RP.
Shortest distance given P and two points A and B
|| AP - ProjdAP ||
Shortest distance given P and Q + td parametric equation
|| QP - ProjdQP ||
Equation of line given A, B, C points
n = AB x AX, equation is AP dot n = 0
Shortest distance of ax + by = c from point P
Form parametric equation P + tn, plug in x and y values into equation, solve for t, plug in t to x and y to find intersection Q, find magnitude of QP
Note 
Flashcards (46)