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You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.

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14y ago

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If vx 3 meterssecond and vy 4 meterssecond what is the magnitude of the resultant velocity?

You can calculate that with the Pythagorean theorem.


How to find resultant force?

To find the resultant force you need to find both the x and y component of the resultant force. Once you have that, you can use the Pythagorean theorem to find the resultant force.


What is the formula for resultant displacment?

The formula for resultant displacement can be calculated using the Pythagorean theorem. It is given by: Resultant displacement = √(horizontal displacement^2 + vertical displacement^2)


How do you calculate a vector sum?

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Is cos function and pythagorean theroem used to calculate the magnitude and direction of the resultant vector?

No. The "resultant vector" will be in rectangular coordinates (x and y coordinates). You indeed use the Pythagorean theorem to calculate its magnitude. For the direction, however, you use the arc-tangent of (y / x). Since different angles have the same tangent, you also have to take into account the quadrant of the angle. For example, if both x and y are negative, then you have to add 180 degrees (or pi radians) to the angle which your calculator gives you. You can save yourself all this trouble by using the rectangular-to-polar conversion, available on most scientific calculators. Check your calculator's manual for details.


Why do non-perpendicular vectors need to be resolved into components before you can add the vectors together?

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If you drive 9 miles north from your house, then turn and drive 12 miles east, you can use the Pythagorean theorem to calculate that you wind up 15 miles from home. You don't need a graph at all to do that. You just have to know the Pythagorean theorem.


What shape does the Pythagorean theorem use?

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Was the Pythagorean Theorem proven?

Oh yes, the Pythagorean Theorem has been proven.