Vector has magnitude and is directed above the -axis

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Vector

\vec A

has magnitude

10\,\text{m}

and is directed

30^{\circ}

above the

+x

-axis. Vector

\vec B

has magnitude

6\,\text{m}

and is directed along the

-y

-axis. The resultant of

\vec A+\vec B+\vec C

is

\vec R = 12\,\hat i + 5\,\hat j\,\text{m}

. Determine the

x

-component

C_x

of the unknown vector

\vec C

. (a)

7.0\,\text{m}

(b)

3.3\,\text{m}

(c)

-3.3\,\text{m}

(d)

12\,\text{m}

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