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WORLD Major Axes are in mm while the Minor Axes are in degrees.
a. True
b. False

1 Answer

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Final answer:

The statement regarding WORLD Major Axes in millimeters and Minor Axes in degrees is false. Both are lengths measured in same units. A vector can form a right angle triangle with its components, and the Pythagorean theorem can be used to calculate the length of the resultant of two vectors at right angles.

Step-by-step explanation:

The statement "WORLD Major Axes are in mm while the Minor Axes are in degrees" is false. In the context of ellipses, the major and minor axes are both measurements of length and would be measured in the same units (such as millimeters, centimeters, meters, etc.). They do not involve units of degrees, which measure angles. Degrees could apply to the orientation of the ellipse but not to the lengths of its axes.

Vector Components and Right Angle Triangle

It is true that a vector can form the shape of a right angle triangle with its x and y components. This is because the x and y components of a vector represent the horizontal and vertical displacements respectively, which are perpendicular to each other.

Resultant Vector and Pythagorean Theorem

To find the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other, one can indeed use the Pythagorean theorem. This is true because the two vectors and their resultant form a right-angled triangle.

Regarding Kepler's Second Law, it pertains to celestial mechanics and the orbits of planets, which are often elliptical, thus involving a major and a minor axis. Yet, this law does not define the units of measurement for these axes.

User Ryan Mrachek
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