Vector Form

Practice Questions

AP Calculus BC › Vector Form

Questions

7

1

Given points and , what is the vector form of the distance between the points?

2

Find the vector form of to .

3

The graph of the vector function $r(t)=\left \langle \frac{1}{2}t,\sin(t)\right \rangle$ can also be represented by the graph of which of the following functions in rectangular form?

4

$ewline {\vec{r}(t)} = (5t^3,e^{11t},e^{5t}) ewline \textnormal{Calculate } \frac{\mathrm{d} }{\mathrm{d} t}{\vec{r}(t)}$

5

$ewline\vec{v} =(x^2,-x,5) ewline\vec{u} =(2,3x,11) ewline$

Calculate $\vec{v} + \vec{u}$

6

Given points and , what is the vector form of the distance between the points?

7

The graph of the vector function $r(t)=\left \langle 3t^{2}-1,\cos(t)\right \rangle$ can also be represented by the graph of which of the following functions in rectangular form?

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