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

7

step-by-step explanation:

i'm assuming you need to figure out how many campers go into each tent.

i got the answer by:

24+4=28

28/4=7  

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this