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What are the x component and the y component of a vector a in the xy plane if its direction is 250 degrees counterclockwise from the positive direction of the x axis and its magnitude is 7.3 m?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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Can be magnitude of a vector have negative value?
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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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