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What are physical examples of vectors which are perpendicular to their derivatives?
Wiki User
∙ 14y ago
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Wiki User
∙ 14y ago
One physical example of a vector perpendicular to its derivative is angular momentum in the case of rotational motion. The angular momentum vector is perpendicular to the angular velocity vector, which is the derivative of the angular displacement vector. Another example is velocity and acceleration in circular motion, where velocity is perpendicular to acceleration at any given point on the circular path.
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Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be perpendicular to each other.
What a examples of vectors?
Examples of vectors include velocity, force, and acceleration. These quantities have both magnitude and direction, making them suitable for representation as vectors. In physics, vectors are used to describe physical quantities that involve both size and direction.
What physical quantities are represented by axial vectors?
Axial vectors represent physical quantities associated with rotational motion, such as angular velocity, torque, and angular momentum. These quantities have both magnitude and direction, and their direction is perpendicular to the plane of rotation.
If two vectors are perpendicular to each other then the resultant what?
If two vectors are perpendicular to each other, their dot product is zero. This means that the resultant of the two vectors is the magnitude of one of the vectors, as the angle between them is 90 degrees, resulting in a right triangle.
Which are the three vectors that act along the mutually perpendicular direction?
The three vectors that act along mutually perpendicular directions are the unit vectors in the x, y, and z directions, namely, i, j, and k. These vectors form the basis for three-dimensional space and are commonly used in physics and mathematics.
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be perpendicular to each other.
When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?
Yes.
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
When are vectors said to be perpendicular?
Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
What a examples of vectors?
Examples of vectors include velocity, force, and acceleration. These quantities have both magnitude and direction, making them suitable for representation as vectors. In physics, vectors are used to describe physical quantities that involve both size and direction.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
What physical quantities are represented by axial vectors?
Axial vectors represent physical quantities associated with rotational motion, such as angular velocity, torque, and angular momentum. These quantities have both magnitude and direction, and their direction is perpendicular to the plane of rotation.
If two vectors are perpendicular to each other then the resultant what?
If two vectors are perpendicular to each other, their dot product is zero. This means that the resultant of the two vectors is the magnitude of one of the vectors, as the angle between them is 90 degrees, resulting in a right triangle.
Real life example of two perpendicular vectors?
Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.
Dot product of two perpendicular vectors?
Zero.
What is the dot product of two perpendicular vectors?
zero is the answer
What is the condition when two vectors are addition and subtraction are same magnitude?
The condition is the two vectors are perpendicular to each other.
