south
No. Cos theta (Cos θ) is a trigonometric function. A vector is any physical quantity which has both magnitude and direction. For example, Displacement. Displacement has a magnitude like 240m or 0 or 13 m, etc. It also depends on the direction. If an object moves along the positive direction of x-axis, then the displacement will have a positive sign and if it moves along the negative direction of x-axis, then displacement will be negative. Thus, it has both direction and magnitude and so is a vector. Cos theta is a trigonometric function, strictly speaking.
Because it has been decided that the right and upwards directions in a plane are the positive directions and the left and downwards are negative. Originally, the decisions were arbitrary but conventionally agreed (in the same sort of way that North is usually shown at the top of a map). Any displacement in a positive direction is called a positive displacement.
Indeed it is.
Very interesting approach! When Paul presses a spring then work done by Paul is positive and work performed by spring is negative. As per scalar product we have to use cos@ If @ is acute then cos @ is +ve and if @ is obtuse then it becomes -ve As force applied and displacement are in the same direction as in the case of Paul's attempt then work becomes positive But in case of spring's opposing force the displacement is in opposite direction and so work is negative
The speed. Also, if a positive slope represents the speed in one direction, the negative slope is the speed in the opposite direction.
Yes. If the slope is positive, the direction of the displacement is positive (e.g. north, east, or right). If the slope is negative, the direction of the displacement is negative (e.g. south, west, or left).
Displacement is a vector quantity, which means it has a magnitude (size) and a direction, compared to a scalar quantity which only shows size. A negative displacement simply means that the person or object is going in a negative direction, or returning.ORYes it can be -ve because with displacement, sign indicates direction. Usually right and up are designated as positive while left and down are designated as negative, but this can be changed as long as one is consistent.So in most cases, if the displacement is negative it means you are moving in the opposite direction/backwards.
Yes it can. If distance and displacement is positive then it means it's going forwards. If you get a distance or displacement that is negative then means it's going the other direction, backwards.
If you have a Displacement - time graph, the velocity at a certain point equals displacement over time, displacement is a vector quantity thus is affected by direction so when it has a negative value the velocity has a negative value. and if your still thinking about it, check out this thought: "negative velocity is positive velocity in the other direction"
Negative 16 would represent 16 kilometres in the opposite direction.
Work = Force * displacement if the displacement and the force are parallel - work is positive if force and displacement are in the same direction, negative if they have opposite direction. At an angle Work = Force * displacement * cos(θ) where θ is the angle between the force and displacement vectors.
No. Cos theta (Cos θ) is a trigonometric function. A vector is any physical quantity which has both magnitude and direction. For example, Displacement. Displacement has a magnitude like 240m or 0 or 13 m, etc. It also depends on the direction. If an object moves along the positive direction of x-axis, then the displacement will have a positive sign and if it moves along the negative direction of x-axis, then displacement will be negative. Thus, it has both direction and magnitude and so is a vector. Cos theta is a trigonometric function, strictly speaking.
Because it has been decided that the right and upwards directions in a plane are the positive directions and the left and downwards are negative. Originally, the decisions were arbitrary but conventionally agreed (in the same sort of way that North is usually shown at the top of a map). Any displacement in a positive direction is called a positive displacement.
Indeed it is.
Yes, black represents negative and red represents positive.
Very interesting approach! When Paul presses a spring then work done by Paul is positive and work performed by spring is negative. As per scalar product we have to use cos@ If @ is acute then cos @ is +ve and if @ is obtuse then it becomes -ve As force applied and displacement are in the same direction as in the case of Paul's attempt then work becomes positive But in case of spring's opposing force the displacement is in opposite direction and so work is negative
Friction can be negative or positive depending on the direction in which your measures are positive.