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Is a vector necessarily changed if it is rotated through an angle?
Wiki User
∙ 16y ago
Yes. A vector is defined as having magnitude and direction (in reference to a fixed frame). Changing either of these properties redefines the vector.
Wiki User
∙ 16y ago
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Can the magnitude of a vector have a negative value?
The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.
What passes through a vertex and bisects the side opposite?
vector
What is an eigenvalue?
If a linear transformation acts on a vector and the result is only a change in the vector's magnitude, not direction, that vector is called an eigenvector of that particular linear transformation, and the magnitude that the vector is changed by is called an eigenvalue of that eigenvector.Formulaically, this statement is expressed as Av=kv, where A is the linear transformation, vis the eigenvector, and k is the eigenvalue. Keep in mind that A is usually a matrix and k is a scalar multiple that must exist in the field of which is over the vector space in question.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Is it possible to add three vector of equal magnitude but different directions to get a null vector?
Consider an equilateral triangle. If each vector started at the center of the triangle and went through a different vertex than the other two vectors then they would cancel. I believe in order for them to add to a null vector they must be co-planer.
Is vector necessarily changed if it is rotated through an angle?
No, a vector is not necessarily changed just by being rotated through an angle. The magnitude and direction of the vector may remain the same even after rotation.
Is a vector necessarily changed if it is rotated through a angle?
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.
Will the value of a vector quantity changed if the reference axes are changed?
No, the value of a vector quantity will remain unchanged even if the reference axes are changed. The vector will have the same magnitude and direction regardless of the orientation of the axes.
How do you do rotation in math?
A vector rotation in math is done on a coordinate plane.2D vectors can be rotated using the cross and dot product.3D vectors are rotated using matrix based quaternion math.
Should a quantity having magnitude and direction be necessarily a vector?
trey6t6
If something is a vector does that just mean it is the product of two things and does not necessarily just have magnitude and direction?
No. A vector means the quantity has a direction as well as a magnitude.
Will the value of vector quantity change if reference axis are changed?
no.
What does it mean when we say a vector is scaled?
It means that the direction of the vector is that same as before but the magnitude has been changed - by a scalar factor.
What is the definition of a radius vector?
A radius (or radial) vector is a vector which goes through the origin. That is going directly away from (or toward) the origin. A vector that is not radial is a transverse vector
What is vector the game about?
Vector the game is about a 2D game where you have to have stradegy and skill to make your character do parkour through rooftops.
Can the magnitude of a vector have a negative value?
The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.
Is any quantity having a positive and negative values a vector?
No, not necessarily. A vector is a quantity that has both magnitude and direction. While it can have positive and negative values, not all quantities with positive and negative values represent vectors. Vectors must also obey the rules of vector addition and scalar multiplication.
