Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <10, 0>, v = <0, -9> (5 points)

Select one:

a. Parallel

b. Orthogonal

c. Neither

Respuesta :

The vectors are orthogonal vectors. If two vectors are perpendicular to one another, we say that they are orthogonal. The two vectors' dot product is zero. If every pair of vectors in a set (v1, v2,..., vn) is orthogonal, we say that the set is mutually orthogonal.

Parallel vectors : If two vectors are parallel, then u =k v . (where, k is a constant)

Orthogonal vectors : the two vectors which are orthogonal (perpendicular) will have their dot product equal to zero.

Neither : any vectors that are not parallel or orthogonal will be classified as neither.

Check if the vectors are parallel:

Find the value for k:

<10,0>=k<0,-9>

10=k x 0 and 0=k x -9

k = undefined and k=0.

It is not possible to have two values for k. Therefore, the vectors are not parallel.

Check if the vectors are orthogonal:

Calculate the dot product:

u.v =  <10,0>  <0,-9>

u.v = (10 x 0)+(0 x -9)

u.v = 0+0

u.v = 0

The dot product of the vectors is equal to zero.

Therefore, the vectors are orthogonal (perpendicular to each other).

Learn more about types of vectors at:

https://brainly.com/question/1597268

#SPJ4