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Two forces with magnitudes of 20 pounds and 14 pounds and an angles of 55 degrees between them are applied to an object How do you find the magnitude of the resultant vector?
Wiki User
∙ 10y ago
1) Decide on a position for the vectors; for example, place one of them along the x-axis (from left to right).
2) Making a drawing is sort of optional, but it helps visualize the problem. This might save you from making mistakes.
3) Convert both vectors to rectangular coordinates. The polar-->rectangular conversion, available on most scientific calculators, can help a lot with this.
4) Add the x-coordinate and the y-coordinate of both vectors separately.
5) Convert to polar coordinates (once again, using the corresponding function on your scientific calculator). One of the numbers given, in polar coordinates, is the magnitude of the vector; the other is the angle.
Wiki User
∙ 10y ago
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7
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7
Can the magnitude of a vector be less than magnitudes both of components?
The magnitude of the sum of any two vectors can be anywhere between zero and the sum of their two magnitudes, depending on their magnitudes and the angle between them. When you say "components", you're simply describing a sum of two vectors that happen to be perpendicular to each other. In that case, the magnitude of their sum is Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ] It looks to me like that can't be less than the the magnitude of the greater component.
