C. If everyone thinks the price is too high you should lower it.
Answer:
A cultural boundary (also cultural border) in ethnology is a geographical boundary between two identifiable ethnic or ethnolinguistic cultures.
Explanation:
Answer:
1. Quality Control Department.
2. Research & Development Department.
3. Quality Assurance Department
4. Production Department.
Explanation:
A functional manager refers to an individual or person who is saddled with the responsibility of controlling and overseeing the affairs of an organizational unit such as a department.
This ultimately implies that, a functional manager only has management authority over the particular department he or she is heading within an organization.
Functional managers are responsible for just one organizational activity such as Quality Control Dept., Research & Development Dept., Production Dept., Quality Assurance Dept. etc.
The functions of these departments in an organization includes;
1. Quality Control Department: test samples of the product and the materials that go into making the product.
2. Research & Development Department: investigate a potential product with commercial value.
3. Quality Assurance Department: ensure all documents are accurate, complete and available.
4. Production Department: Make product by following documented procedures.
When you go to a shop or office and you ask for the manger for help or for a complaint etc that is in person customer service as you’re in person to receive the customer service.
Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
