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The resultant decreases from 0 degrees until the angle is 180 degrees and then increases until 360 degrees.

Q: How does the resultant of two vectors change as the angle between the two vectors increase?

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Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.

If the angle decreases, the magnitude of the resultant vector increases.

This is an increase of 14.2857%.

(12/5 x 100) - 100 = 140 percent. The percentage change between 5 and 12 is a 140 percent increase.

25% increase from 12 to 15. 20% decrease from 15 to 12.

Related questions

That follows directly from the addition of vectors by components - here you are adding real numbers, so the commutative law applies.

Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.

If the angle decreases, the magnitude of the resultant vector increases.

The direction will change; the magnitude of the resultant force will be less.

The direction will change; the magnitude of the resultant force will be less.

Change in magnitude.

Acceleration

A resultant force causes a change in velocity.

Newton's second Law states that when a resultant force acts on an object with constant mass, the object will accelerate and move in the direction of the resultant force. The product of the mass and the acceleration of the object is equal to the resultant force. The direction of the acceleration has the same direction as the resultant force. If the force stated in this question is always greater than the opposing force (i.e. friction, air resistance...) the body will continue to accelerate and its velocity will increase.

Increase the masses.

40% increase.

50% increase.