Yes. The angle is the direction of the vector, so if the angle changes, the direction changes.
Any change in motion (direction or speed) is a change in velocity.Velocity is a vector quantity which means that it has a magnitude and a direction.
using the "dot product" formula, you can find the angle. where |a| denotes the length (magnitude) of a. More generally, if b is another vector : where |a| and |b| denote the length of a and b and θis the angle between them. Thus, given two vectors, the angle between them can be found by rearranging the above formula: : :
The displacement vector represents the distance and direction of an object's change in position. It is a directed line segment that joins the initial and final positions of the object.
The potential gradient is a vector quantity. It represents the rate of change of the scalar electric potential with respect to position in space.
he magnitude of torque depends on three quantities: First, the force applied; second, the length of the lever arm[4] connecting the axis to the point of force application; and third, the angle between the two. In symbols:whereτ is the torque vector and τ is the magnitude of the torque,r is the displacement vector (a vector from the point from which torque is measured to the point where force is applied), and r is the length (or magnitude) of the lever arm vector,F is the force vector, and F is the magnitude of the force,× denotes the cross product,θ is the angle between the force vector and the lever arm vector.
Yes. You can consider a vector of being made up of a magnitude (size) and a direction. If any of the two changes, it is no longer the same vector. Alternately, you can also consider a vector (in two dimensions, for simplicity) as being made up of an x-component and a y-component. It is not possible to change the angle without changing at least one of the two components.
The angle can have any value.
If the angle decreases, the magnitude of the resultant vector increases.
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.
A perpendicular vector is a vector that forms a right angle (90 degrees) with another vector in a given space. This means that the dot product of two perpendicular vectors is zero, indicating that they are orthogonal to each other.
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
Almost all of us would say that angle is a scalar quantity. But the beauty is that angle is a vector quantity. Now the question arises. Where will be the direction? As we measure the angle in a plane in counter clockwise direction, then direction of angle vector will be perpendicular to the plane and coming out of the surface. If the angle is measured in clockwise then vector would go into the surface normally. As angle becomes vector then angular velocity w = @/t also becomes a vector.
No, the magnitude of a vector is the length of the vector, while the angle formed by a vector is the direction in which the vector points relative to a reference axis. These are separate properties of a vector that describe different aspects of its characteristics.
Almost all of us would say that angle is a scalar quantity. But the beauty is that angle is a vector quantity. Now the question arises. Where will be the direction? As we measure the angle in a plane in counter clockwise direction, then direction of angle vector will be perpendicular to the plane and coming out of the surface. If the angle is measured in clockwise then vector would go into the surface normally. As angle becomes vector then angular velocity w = @/t also becomes a vector.
To find the direction of a vector, you can use trigonometry. First, calculate the angle the vector makes with the positive x-axis. This angle is called the direction angle. You can use the arctangent function to find this angle. The direction of the vector is then given by the direction angle measured counterclockwise from the positive x-axis.
A scalar quantity has an angle which is an even multiple of 90 degrees. A vector quantity has an angle which is an odd multiple of 90 degrees. A quaternion has any angle and includes the scalar and the vector; quaternion q = cos(angle) + unit-vector sin(angle)
I disagree with the last response. It is implied that the angle you are speaking of is the angle between the x-axis and the vector (this conventionally where the angle of a vector is always measured from). The function you are asking about is the sine function. previous answer: This question is incorrect, first of all you have to tell the angle between vector and what other thing is formed?