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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
Define the unit vector?
The unit vector is a vector whose magnitude is 1.
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.
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...
