Question

Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters long and points 56 counterclockwise from the positive - axis. The vector B is 4.0 meters long and points along the negative z-axis. The vector C is 2.8 meters long and points 53° clockwise from the negative z-axis. What are Cz and Cy, the z and y components of vector C? Express your answer numerically in meters as the ordered pair (C C) using three significant figures. m, m

Answer 1

WE have been given that vector C makes an angle of 53⁰ with the negative x axis.

So we know that the x component of the vector will be

Cx= C cos53

And y component will be

Cy=C sin53

So,

Cx=2.8*cos53

Cx=1.685 m

And,

Cy= 2.8*sin53

Cy=2.236 m