Find the vector that has the same direction as 3, 2, −6 but has length 2.

The vector is .

Step-by-step explanation:

We can determine the equivalent vector (), dimensionless, by means of the following formula:

(1)

Where:

- Original vector, dimensionless.

- Norm of the original vector, dimensionless.

- Norm of the new vector, dimensionless.

The norm of the original vector is determined by the following definition:

(2)

If we know that , then the norm of the original vector is:

If we know that , then the new vector is:

The vector is .

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

the answer is a beach is the best place to be