Answer:
2x + 3y + 5z = 9
Step-by-step explanation:
The normal defines all the planes perpendicular to that vector. To isolate to a single plane, just apply the known point.
ax + by + cz = d
2x + 3y + 5z = d
2(1) + 3(-1) + 5(2) = 9
Is it 3 miles? From what you wrote, I believe this would be the answer.
Recall the Pythagorean Theorem which says:
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:
5^2 + b^2 = 6^2
25 + b^2 = 36
b^2 = 11
b = √11
Thus the answer is C.