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How many right angles are formed by the x, y, and z axes?

a) 0
b) 1
c) 2
d) 3

User Dave Ward
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1 Answer

2 votes

Final answer:

The correct answer is D. There are 3 right angles formed by the intersection of the x, y, and z axes in a three-dimensional Cartesian coordinate system, as they are each perpendicular to the counterparts.

Step-by-step explanation:

In a three-dimensional Cartesian coordinate system, the x, y, and z axes are all perpendicular to one another. By definition, when two lines (or axes in this context) are perpendicular, they form a right angle. The x-axis is perpendicular to the y-axis, the y-axis is perpendicular to the z-axis, and the z-axis is perpendicular to the x-axis, resulting in each pair forming a right angle at their point of intersection.

Therefore, together, the x, y, and z axes form three distinct right angles. This is an example of a conventional Euclidean space where the axes represent the dimensions of length, width, and height, and they essentially define the directional vectors of this space.

User A Bogus
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