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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?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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The resultant force of a number of balanced forces acting on a body is zero force. The reason is because any force in one direction is always canceled out by another equal force but in the opposite direction. This is what is meant by balanced forces. For every force in the positive direction, there is also an equal negative force in the negative direction. So the forces all add up to Zero. No net force at all.
Can there be a positive acceleration and a negative acceleration?
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How can you tell if acceleration is positive or negative?
Acceleration is positive when an object is speeding up in the positive direction (e.g., increasing velocity), and negative when the object is slowing down in the positive direction or moving in the negative direction (e.g., decreasing velocity). The sign of acceleration depends on the direction of the change in velocity relative to the direction of motion.
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Take east to be the positive direction, +11 lb. Take west to be the negative direction, -17 lb. Resultant (net force) = +11 lb + (-17 lb) = -6 lb, or 6 lb west.
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Can a speed of a body be negative?
The 'speed' of a body cannot be negative. But if you are stating the 'velocity' then it can be negative. Negative velocity means it is going opposite to the direction that you decided to call the positive direction.
