Answer:
The vectors u and v are orthogonal
Step-by-step explanation:
* Lets explain Parallel and Perpendicular Vectors
- Two vectors A and B are parallel if and only if A = k B , k is a constant
not equal to zero.
- Two vectors A and B are perpendicular if and only if their scalar
product is equal to zero.
* Lets solve the problem
- Vector u = <10 , 0>
- Vector v = <0 , - 9>
∵ 10 ≠ k(0) and 0 ≠ k(-9)
∴ u ≠ k . v
∴ The vectors u and v are not parallel
∵ The scalar product of the vectors <a , b> and <c , d> is
ac + bd
∵ The scalar product of u and v = 10(0) + 0(-9) = 0 + 0 = 0
∴ The vectors u and v are orthogonal
