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X - component = 7.3 cos(250) = -2.497 meters (rounded)

Y - component = 7.3 sin(250) = -6.86 meters (rounded)

It's pointing down and slightly to the left ... like south-southwest.
Another 20 degrees and it would be pointing straight down.

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Vector rm vec A points in the negative y direction and has a magnitude of 11 units Vector rm vec B has twice the magnitude and points in the positive x direction.?

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A vector has both magnitude and direction. The magnitude is always positive, by convention, but this is not cast in stone. So you can have in your case a positive magnitude with a direction 257.31 degrees, which is the same as a positive magnitude 77.31 degrees in quadrant III, but the first way is more conventional. One could also say a negative magnitude at 77.31 degrees, in which case the negative sign implies a 180 degree reversal. So there are many choices, and you seem to have a good handle on this.


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Yes, a vector can have both positive and negative components. In a two-dimensional space, for example, a vector can point in a direction where one component (such as the x-component) is positive while the other component (the y-component) is negative. This allows the vector to represent a direction that combines movement in different quadrants of the coordinate system. Thus, vectors can effectively capture a wide range of directional information.

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Can a vector resultant have a negative direction I have a statics problem and the answer is 77.31 deg in the III quad Negative or Positive Or is the answer 257.31 deg from the horizonal?

A vector has both magnitude and direction. The magnitude is always positive, by convention, but this is not cast in stone. So you can have in your case a positive magnitude with a direction 257.31 degrees, which is the same as a positive magnitude 77.31 degrees in quadrant III, but the first way is more conventional. One could also say a negative magnitude at 77.31 degrees, in which case the negative sign implies a 180 degree reversal. So there are many choices, and you seem to have a good handle on this.


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