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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.
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.
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.
What is the significance of the area vector in the context of vector calculus and its applications?
The area vector in vector calculus represents the direction and magnitude of a surface area. It is important in applications such as calculating flux, which measures the flow of a vector field through a surface. The area vector helps determine the orientation of the surface and is crucial for understanding the behavior of vector fields in three-dimensional space.
What is the reverse process of vectors addition?
reverse process of vector addition is vector resolution.
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 an angle?
Yes. A vector is defined as having magnitude and direction (in reference to a fixed frame). Changing either of these properties redefines the vector.
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?
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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
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.
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.
