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.
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.
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.
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, their dot product will be zero. This means that the angle between the two vectors is 90 degrees. When adding two perpendicular vectors together, the resultant vector will be the vector sum of the two original vectors. The magnitude of the resultant vector can be calculated using the Pythagorean theorem, and its direction can be determined using trigonometry.
Vectors that go in different directions are called orthogonal vectors. This means that the vectors are perpendicular to each other, with a 90 degree angle between them.
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.
Yes.
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
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.
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.
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.
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, their dot product will be zero. This means that the angle between the two vectors is 90 degrees. When adding two perpendicular vectors together, the resultant vector will be the vector sum of the two original vectors. The magnitude of the resultant vector can be calculated using the Pythagorean theorem, and its direction can be determined using trigonometry.
Zero.
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.
zero is the answer
The condition is the two vectors are perpendicular to each other.