Pre-Calculus help needed!?

sarahbear922

New member
I'm taking an online test and I'm horrible at a lot of this, so any help would be greatly appreciated!

1. Find the angle between v = <5, 6> and w = <7, -8>

2. Find the component form of the vector that represents the velocity of a ship traveling at a speed of 20 knots on a heading of 060*. Note that due north is 0* or 360*, and due east is 090*. A course of 060* would be 30* north of due east, thus theta=30*.

3. Find the direction angle of the vector u = 5i + 8j

4. If a regular pentagon is inscribed in a circle of radius 10cm., what is the length of one side of the pentagon?

5. List the three complex roots of -1 by rewriting -1 in trigonometric form and applying DeMoivre's Theorem. You may leave your answers in trigonometric form.

Thank you!
 
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