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.
prrpendicular projections of a vector called component of 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.
The unit vector is a vector whose magnitude is 1.
At what angle should a vector be directed to so that its x component is equal to its y component
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...
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.
The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t
no a vector cannot have a component greater than the magnitude of vector
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 magnitude
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.
prrpendicular projections of a vector called component of vector
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)
No.
No.
No.
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".