Question

Which of the following statements are true?

I. Increasing the resultant will also increase the components

II. If the horizontal component is larger than the vertical component then the resultant angle will be less than 45 degrees

III. If the vertical component is larger than the horizontal component then the resultant angle will be less than 45 degrees

IV. The resultant will always have a magnitude that is equal to or greater than each of the components.

Answer 1

I. This is true. If the hypotenuse is larger, then the legs of the triangle must be larger.
II. This is true. There is more run then rise. The angle would be under 45.
III. This is not true. It contradicts number II.
IV. This is true. A triangle's hypotenuse is the longest side.