Find a basis for the set of vectors in set of real numbers R cubed in the plane x minus 7 y plus 4 z equals 0. [Hint: Think of the equation as a "system" of homogeneous equations.] A basis for the set of vectors in set of real numbers R cubed in the plane x minus 7 y plus 4 z equals 0 is StartSet nothing EndSet .

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: