Answer:
Distance to the xy-plane = |z|
Distance to the yz-plane = |x|
Distance to the xz-plane = |y|
Step-by-step explanation:
The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z
Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|
Distance to the xy-plane = |z|
Distance to the yz-plane = |x|
Distance to the xz-plane = |y|
That's true; the Law of Cosines works with all triangles. With right triangles it simplifies to the Pythagorean Theorem.
10/1 as a mixed number is just 10
It depends. Some functions can have inverses that are also functions, such as the function y = x. However, a function like y = x^2 would not have an inverse that is also a function.
