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Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
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 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.
What is the cross product of two perpendicular vectors and how is it calculated?
The cross product of two perpendicular vectors is a vector that is perpendicular to both of the original vectors. It is calculated using the formula: mathbfa times mathbfb beginpmatrix a2b3 - a3b2 a3b1 - a1b3 a1b2 - a2b1 endpmatrix Where (mathbfa beginpmatrix a1 a2 a3 endpmatrix) and (mathbfb beginpmatrix b1 b2 b3 endpmatrix) are the two perpendicular vectors.
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
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 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.
What is the cross product of two perpendicular vectors and how is it calculated?
The cross product of two perpendicular vectors is a vector that is perpendicular to both of the original vectors. It is calculated using the formula: mathbfa times mathbfb beginpmatrix a2b3 - a3b2 a3b1 - a1b3 a1b2 - a2b1 endpmatrix Where (mathbfa beginpmatrix a1 a2 a3 endpmatrix) and (mathbfb beginpmatrix b1 b2 b3 endpmatrix) are the two perpendicular vectors.
Dot product of two perpendicular vectors?
Zero.
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.
What is the dot product of two perpendicular vectors?
zero is the answer
