Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (5, 4, 0) and perpendicular to both i j and j k

Step-by-step explanation:

Suppose u = i + j = & v = j + k =

The direction vector for the line u*v is:

= (1-0) i - (1 - 0)j + ( 1- 0) k

= i - j - k

=

Hence, the equation of the line via the point (5,4,0 ) and the direction vector is as follows:

r(t) = (5,4,0) + t

r(t) = (5+t, 4-t, t)

The symmetric equations of the line are:

x - 5 = -(y-4) = z

The parametric equation of the line is:

x = 5 + t , y = 4 - t , z = t

i belive those are the ones that are under 90 degreese.