# Magnitude and Direction of a Vector#

Given $$\vec{A} =$$ 1$$\hat{\imath}$$ - 5$$\hat{\jmath}$$, $$\vec{B} =$$ -3$$\hat{\imath}$$ + 5$$\hat{\jmath}$$, $$\vec{C} =$$ -8$$\hat{\imath}$$ - 5$$\hat{\jmath}$$ and $$d=$$ -8, find the magnitude and direction of $$\vec{A}-\vec{B}+d\vec{C}$$.

## Part 1#

Expressing this vector in the form $$(r,\theta)$$ where $$\theta$$ is measured relative to the positive $$x$$-axis, the closest to your result is:

• ($$\sqrt{5500}$$, $$\theta =$$23.8$$^\circ$$)

• ($$\sqrt{5500}$$, $$\theta =$$11.9$$^\circ$$)

• ($$\sqrt{2750.0}$$, $$\theta =$$11.9$$^\circ$$)

• ($$\sqrt{74.0}$$, $$\theta =$$23.8$$^\circ$$)

• ($$\sqrt{8250.0}$$, $$\theta =$$11.9$$^\circ$$)

• ($$\sqrt{98}$$, $$\theta =$$23.8$$^\circ$$)