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Yes, a unit vector can have negative component since a unit vector has same magnitude and direction as a negative unit vector.
Here is the general work out of the problem:
Let |v| be the norm of (v1, v2). Then, the unit vector is (v1/|v|, v2/|v|). Determine the "modulus" or the norm |(v1/|v|, v2/|v|)| to get 1, which is the new norm. If we determine the norm of |(-v1/|v|, -v2/|v|)|, we still have the same norm 1.
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What are vector components?
prrpendicular projections of a vector called component of vector
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.
Define the unit vector?
The unit vector is a vector whose magnitude is 1.
Can a vector directed along x-axis have y-axis component?
At what angle should a vector be directed to so that its x component is equal to its y component
What is null vector?
NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...
Dot product of unit vectors of cartesian and cylindrical coordinate system?
Unit vectors are perpendicular. Their dot product is zero. That means that no unit vector has any component that is parallel to another unit vector.
Can a vector have a component greater than the magnitude of vector?
no a vector cannot have a component greater than the magnitude of vector
Will a vector be zero if anyone of its component is zero?
If any component of a vector is not zero, then the vector is not zero.
Can a vector have a component greater than the vector's magnitude?
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
Vector component greater than the vectors magnitude?
A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.
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.
Can a vector have a component greater than the magnitude of the vector?
No, a vector component is a projection of the vector onto a specific direction. It cannot have a magnitude greater than the magnitude of the vector itself.
Is the vector (I j k) a unit vector?
No, the vector (I j k) is not a unit vector. In the context of unit vectors, a unit vector has a magnitude of 1. The vector (I j k) does not have a magnitude of 1.
What are vector components?
prrpendicular projections of a vector called component of vector
Writing vectors in unit vector notation?
Notation in which you express the x component as i and the y component as j, and you add them. Ex. V (4,5) --> V (4i + 5j)
Can a component of vector greater than vector magnitude?
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
Why A unit vector is a vector but a vector is not a unit vector?
A unit vector is one which has a magnitude of 1 and is often indicated by putting a hat (or circumflex) on top of the vector symbol, for example: Unit Vector = â, â = 1.The quantity â is read as "a hat" or "a unit".
