Physics

Problem

A displacement vector

\mathbf{B}

has an

x

-component of

-6\,\text{cm}

and a

y

-component of

8\,\text{cm}

. a. (i) Write

\mathbf{B}

in unit-vector form, including units. b. (ii) Determine the magnitude of

\mathbf{B}

correct to two significant figures. c. (iii) Calculate the angle

\theta

that

\mathbf{B}

makes with the positive

x

-axis. Specify the quadrant in which the vector lies. Give

\theta

to the nearest degree.