Answer:
what are the answer choices
Step-by-step explanation:
We can set it up like this:

Multiply straight...

Simplify...

That's our answer, we can also convert it to decimal.
Answer in fraction form:

Answer in decimal form:

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
√254 feet
Step-by-step explanation:
This is basically a triangle, with a height of 2, and hypotenuse of 16.
Using the Pythagorean theorem (a^2+b^2=h^2) we can find the other side.
2^2+b^2=16^2
4+b^2=256
b^2=254
b=√254