3. Vectors

If the vector $\stackrel{\rightharpoonup }{E}$ shown in the figure has components $E_x=3.0$ and $E_y-1.3$, what is θ?

The figure shows vectors $\stackrel{\rightharpoonup }{A}$ and $\stackrel{\rightharpoonup }{B}$. What are the x and y components of $\stackrel{\rightharpoonup }{A}$?

A toy gun shoots a plastic ball $10\mathrm{m}/\mathrm{s}$ at an angle of 25° above the horizontal. What is the vertical component of the ball's velocity when it left the gun?

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of (b) A - B In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.

Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = −8.60 cm, Ay = 5.20 cm:

Compute the x- and y-components of the vectors A, B, C, and D in Fig. E1.24.

Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and Paul is pulling a large crate up the ramp with a rope that angles 10° above the ramp. If Paul pulls with a force of 550 N, what are the horizontal and vertical components of his force? (Force is measured in newtons, abbreviated N.)