counterclockwise
Rotation is a vector having a direction and magnitude.
Simply put, a vector is 2 dimensional. Think of speed - it is only one dimensional. It is not a vector, it is a scalar. It is measured in a scale, most commonly noticed when inside a vehicle. You are travelling at 100km/h (60mph) Vectors are 2 dimensional, they have a magnitude and a direction. Think of velocity, as an arrow - imagine you are travelling at 60 mph in a northerly direction, your arrow would be pointing to the notth, with a magnitude of 60mph, If you were travelling at 60mph in a southerly direction, your velocity vector would be pointing towards the south, the exact opposite of your vector if you were travelling in a northerly direction. However the speed in these two scenario's, speed not being a vector, remains exactly the same, 60mph.
1/4 of 360 degrees = 90 degrees which is a right angle
It's not. Cos(Θ) only gives you the x-component of a vector. In order to find its y-component, you also need to use sin(Θ).
The fulcrum
Rotation is a vector having a direction and magnitude.
A psuedovector is a vector that transform in a proper rotation, but in three dimensions it gains an additional sign flip because of an improper rotation.
Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.
The Earth's angular velocity vector due to its axial rotation points towards the north pole.
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°.
Angular velocity is a vector quantity that describes the rate of rotation of an object about an axis. It has both magnitude (how fast the object is rotating) and direction (the axis of rotation). Scalar angular velocity only considers the magnitude of the rotation rate without specifying the direction.
A positive selection vector is a type of vector used in molecular biology that contains a gene conferring a specific trait or resistance to a selection agent, such as an antibiotic. This allows for the selection of only those cells that have successfully taken up the vector and integrated the gene.
No, the curl of a vector field is a vector field itself and is not required to be perpendicular to every vector field f. The curl is related to the local rotation of the vector field, not its orthogonality to other vector fields.
No, a vector is not necessarily changed just by being rotated through an angle. The magnitude and direction of the vector may remain the same even after rotation.
A couple is a vector quantity because it has both magnitude (related to the moment of force) and direction (related to the axis of rotation).
No, not necessarily. A vector is a quantity that has both magnitude and direction. While it can have positive and negative values, not all quantities with positive and negative values represent vectors. Vectors must also obey the rules of vector addition and scalar multiplication.
No, a vector's magnitude and direction can remain the same if it is rotated through an angle, as long as the rotation occurs around an axis that is parallel to the vector. The vector is considered unchanged in this scenario.