Using the knowledge you have gained from completing the lab and the weekly readings, respond to the problems below.

Scenario:

On the surface of Mars is a spaceship located at coordinate $(0m,0m).$

Astronaut A is located at coordinate $(-300m,0m).$

Astronaut B is located at coordinate $(100m,-200m).$

LERS$-$M rover is located at coordinate $(300m,400m).$

Relative to the spaceship, what is the position vector for astronaut $A?$ Show your work.

a$.A_x=$

b$.A_y=$

Relative to the spaceship, what is the position vector for astronaut B$?$ Show your work.

a$.B_x=$

b$.B_y=$

Relative to the spaceship, what is the position vector for the LERS$-$M rover? Show your work.

a$.L_x=$

b$.,L_y=$

What is the displacement vector from astronaut A to the LERS$-$M rover? Show your work.

a$.D_{A,x}=$

b$.,D_{A,y}=$

What is the displacement vector from astronaut B to the LERS$-$M rover? Show your work.

a$.D_{B,x}=$

b$.D_{B,y}=$

What is the direct distance from astronaut $A$ to the LERS$-$M rover? Show your work.

a$.,D_A=$

What is the direct distance from astronaut B to the LERS$-$M rover? Show your work.

a$.,D_B=$

$600$ words

English $($United States$)$

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