91影视

In the sum $\stackrel{\mathbf{鈫�}}{\mathbf{A}}\mathbf{+}\stackrel{\mathbf{鈫�}}{\mathbf{B}}\mathbf{+}\stackrel{\mathbf{鈫�}}{\mathbf{C}}$vector has a magnitude of 12.0 m and is angled $\mathbf{40}\mathbf{.}\mathbf{0}\mathbf{掳}$counterclockwise from the +x direction, and vector $\stackrel{\mathbf{鈫�}}{\mathbf{C}}$has a magnitude of 15.0 m and is angled $\mathbf{20}\mathbf{.}\mathbf{0}\mathbf{掳}$counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x ) of $\stackrel{\mathbf{鈫�}}{\mathbf{B}}$?

In a game of lawn chess, where pieces are moved between the centers of squares that are each 1.00m on edge, a knight is moved in the following way: (1) two squares forward, one square rightward; (2) two squares leftward, one square forward; (3) two squares forward, one square leftward. What are (a) the magnitude and (b) the angle (relative to 鈥渇orward鈥�) of the knight鈥檚 overall displacement for the series of three moves?

What are (a) the x component and (b) the y component of a vector$\stackrel{\mathbf{鈫�}}{\mathbf{a}}$in the xyplane if its direction iscounterclockwise from the positive direction ${\mathbf{250}}^{\mathbf{掳}}$of the x axis and its magnitude is 7.3 m?

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.6 km , but when the snow clears, he discovers that he actually traveled 7.8 km at $\mathbf{50}\mathbf{掳}$north of due east. (a) How far and (b) in what direction must he now travel to reach base camp?

An ant crazed by the sun on a hot Texas afternoon, darts over aplane scratched in the dirt. The and component of four executive darts are the following. All in centimetres:$\mathbf{(}\mathbf{30}\mathbf{.}\mathbf{0}\mathbf{,}\mathbf{40}\mathbf{.}\mathbf{0}\mathbf{)}\mathbf{,}\mathbf{(}{\mathbf{b}}_{\mathbf{x}}\mathbf{-}\mathbf{70}\mathbf{.}\mathbf{0}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{-}\mathbf{20}\mathbf{.}\mathbf{0}\mathbf{,}{\mathbf{c}}_{\mathbf{y}}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{-}\mathbf{80}\mathbf{.}\mathbf{0}\mathbf{,}\mathbf{-}\mathbf{70}\mathbf{.}\mathbf{0}\mathbf{)}\mathbf{.}$The overall displacement of the four darts has thecomponents. What are a)and b)? What are c) magnitude and d) angle (relative to the positive direction of theaxis) of the overall displacement?

(a) What is the sum of the following four vectors in unitvector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians?

If is $\stackrel{\mathbf{鈬赌}}{\mathbf{B}}$added to $\stackrel{\mathbf{鈬赌}}{\mathbf{C}}\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{0}\mathbf{}\mathbf{i}\mathbf{+}\mathbf{4}\mathbf{.}\mathbf{0}\mathbf{}\hat{\mathbf{j}}$, the result is a vector in the positive

direction of the y axis, with a magnitude equal to that of $\stackrel{\mathbf{鈬赌}}{\mathbf{C}}$. What is the

magnitude of$\stackrel{\mathbf{鈬赌}}{\mathbf{B}}$?

Vector $\stackrel{\mathbf{鈬赌}}{\mathbf{A}}$which is directed along an x axis, which to be added to

vector $\stackrel{\mathbf{鈬赌}}{\mathbf{B}}$, which has a magnitude of 7.0 m.The sum is a third vector that

is directed along the y axis, with a magnitude that is 3.0 times that of $\stackrel{\mathbf{鈬赌}}{\mathbf{A}}$. What is that magnitude of $\stackrel{\mathbf{鈬赌}}{\mathbf{A}}$?

Oasis $\mathit{B}$is 25kmdue east of oasis $\mathit{A}$, a camel walks 24kmin a directionlocalid="1656942587340" $\mathbf{15}\mathbf{掳}$south of east and then walks 8.0kmdue north. How far is the camel from oasis $\mathit{B}$?

What is the sum of the following four vectors in (a) a unitvector notation, and (b) a magnitude and (c) an angle?

$$\begin{gathered} \stackrel{\mathbf{鈫�}}{\mathbf{A}}\mathbf{=}\left(2.00m\right)\stackrel{\mathbf{铃�}}{\mathbf{i}}\mathbf{+}\left(3.00m\right)\stackrel{\mathbf{铃�}}{\mathbf{j}} \\ \stackrel{\mathbf{鈫�}}{\mathbf{B}}\mathbf{=}\left(4.00m\right)\mathit{a}\mathit{t}\mathbf{}\mathbf{+}\mathbf{65}\mathbf{.}\mathbf{0} \\ \stackrel{\mathbf{鈫�}}{\mathbf{C}}\mathbf{=}\left(-4.00m\right)\stackrel{\mathbf{铃�}}{\mathbf{i}}\mathbf{+}\left(-6.00m\right)\stackrel{\mathbf{铃�}}{\mathbf{j}} \\ \stackrel{\mathbf{鈫�}}{\mathbf{D}}\mathbf{=}\left(5.00m\right)\mathit{a}\mathit{t}\mathbf{}\mathbf{-}\mathbf{235} \end{gathered}$$