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Why does the cross product give a perpendicular vector?
The cross product gives a perpendicular vector because it is calculated by finding a vector that is perpendicular to both of the original vectors being multiplied. This property is a result of the mathematical definition of the cross product operation.
What are physical examples of vectors which are perpendicular to their derivatives?
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.
Is the cross product vector or scalar?
The cross product is a vector. It results in a new vector that is perpendicular to the two original vectors being multiplied.
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.
What does the cross product give you in vector algebra?
The cross product in vector algebra gives you a new vector that is perpendicular to the two original vectors being multiplied.
Is zero vector is perpendicular any vector?
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How do you find the component of a vector perpendicular to another vector?
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
Prove that if magnitude of vector A is constant then d by dt of vector A is perpendicular to vector A.?
That is not even true!
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Is curl of vector function F must perpendicular to every vector function f?
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.
When will be the vector projection and vector components are same?
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
Why does the cross product give a perpendicular vector?
The cross product gives a perpendicular vector because it is calculated by finding a vector that is perpendicular to both of the original vectors being multiplied. This property is a result of the mathematical definition of the cross product operation.
When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?
Yes.
What are physical examples of vectors which are perpendicular to their derivatives?
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.
If the component of vector A along the direction of vector B is zero. What can you conclude about these two vectors?
Their directions are perpendicular.
Is the cross product vector or scalar?
The cross product is a vector. It results in a new vector that is perpendicular to the two original vectors being multiplied.
