Spring ACPR: Vectors

Let $$\overrightarrow{AB}$$ be the vector with initial point $$A\left(-1,\ -2\right)$$ and terminal point $$B\left(3,\ 4\right)$$ . Which graph represents vector $$-\frac{1}{2}\overrightarrow{AB}$$ ?

Vectors $$u$$ and $$v$$ are shown. Which representation shows the addition of vectors $$u$$ and $$v$$ to create vector $$w$$ ?

An airplanes flies east for 200 miles before turning $$60\degree$$ south and flying for 100 miles. What are the magnitude and the direction of the airplane from its starting point?

In physics, a force diagram is used to show the effects of all the different forces acting on an object. The diagram shown represents the forces acting on a child sliding down a slide. What is the component form of the resultant vector representing the forces acting upon the child?

In physics, a force diagram is used to show the effects of all the different forces acting on an object. The diagram shown represents the forces acting on a child sliding down a slide. What is the magnitude of the resultant vector representing the forces acting upon the child?

If $$r=<4,\ -2>$$ , which graph represents $$-2r$$ ?

A ship leaves port and travels on a constant course and at a constant speed for 15 days to reach its destination. If the ship's port is represented by the vector $$<0,0>$$ and its destination is represented by the vector $$<-825,\ -30>$$ , which vector represents the ship's position at the third day?

Harrison walks to the library after school every day. When Harrison leaves school, he walks 16 blocks due West and then 12 blocks due North to get to the library. What is the magnitude and direction of the resultant vector?