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.
Vectors have magnitude and direction. The magnitude is always a positive number.
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Yes, acceleration can be positive and negative because acceleration is a vector. It has both direction and magnitude. The direction is what makes it positive or negative. Negative acceleration is usually called deceleration.
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.
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.
The direction of angular motion associated with a positive () sign is counterclockwise.
Vectors have magnitude and direction. The magnitude is always a positive number.
The resultant magnitude is 60.659 N and its vectorial angle is 356.6124 degrees.
Velocity includes both speed and direction, so a negative velocity indicates motion in the opposite direction. Speed, on the other hand, is a scalar quantity representing the magnitude of velocity without regard to direction, and therefore is always positive.
Magnitude is the absolute value which is always positive.--Edit: Magnitude is a scalar quantity thus regardless of the direction of the vector (which determines is positivity or negativity) the magnitude would be positive.Example: you take two steps forwards; the magnitude is two steps, regardless of it being forward or backwards (positive or negative)
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Positive velocity refers to an object moving in the positive direction along its path. It indicates that the object is moving forward or in the direction of increasing position. Velocity is a vector quantity that includes both magnitude (speed) and direction.
Torque is a vector quantity represented by both magnitude and direction. The direction of torque is perpendicular to the plane formed by the force applied and the point of rotation. It follows the right-hand rule, where the direction of torque can be determined by curling your right hand around the axis of rotation in the direction of the force.
Yes, acceleration can be positive and negative because acceleration is a vector. It has both direction and magnitude. The direction is what makes it positive or negative. Negative acceleration is usually called deceleration.
A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.
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.
No, the magnitude of force cannot be negative. Force is a vector quantity, meaning it has both magnitude and direction. The magnitude of force is always a positive value, representing the strength of the force applied.