MAT240 - Unit 1 Exam UPDATED ACTUAL QUESTIONS AND CORRECT ANSWERS

MAT240 - Unit 1 Exam UPDATED
ACTUAL QUESTIONS AND CORRECT
ANSWERS
Eq. To find distance between 2 points on a reference frame - correct answer sqrt( (x2-
x1)^2 + (y2-y1)^2 + (z2-z1)^2)



How to determine distance away from xz-plane/xy-plane? - correct answer look at abs.
Value of y-coordinate/z-coordinate



Midpoint formula - correct answer m (midpoint (x,y,z) ) = ( (x1+x2/2) , (y1+y2/2)
,(z1+z2/2) )



Equation of a sphere - correct answer (x-h)2 + (y-k)^2 + (z-l)^2 = r^2



Height of an equilateral triangle equation - correct answer h = ( (any side
length)(sqrt(3)/2 ) )



Formula for a plane - correct answer z = ax + by + c



Point slope form of a plane - correct answer z = a(x-d) + b(y-e) + f



Slope intercept form of a plane - correct answer z = ax + by + c



What is needed for point slope form of a plane - correct answer 1.) A point you want
the plane to include (d,e,f)

2.) Two slopes, a and b



What is needed for slope intercept form of a plane - correct answer 1.) Two slopes, a
and b