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Lesson 8 – King of Thrones with Vectors. August 2, 2013. Heading and Ground Velocity. Level 1. A quadrant bearing of S73°W is equivalent to a true bearing of 253 ° . Geometric vectors have both magnitude and direction but Cartesian vectors have only magnitude. - PowerPoint PPT Presentation
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LESSON 8 – KING OF THRONES WITH VECTORSAugust 2, 2013
HEADING AND GROUND VELOCITY
LEVEL 1
A quadrant bearing of S73°W is equivalent to a true bearing of 253°.
Geometric vectors have both magnitude and direction but Cartesian vectors have only magnitude.
Unit vectors have a magnitude of one but no direction.
If AB and CD have the same magnitude but opposite direction, then AB = - DC.
A quadrant bearing of S53°W is equivalent to a true bearing of 233°.
A vector is a quantity that has both magnitude and direction.
LEVEL 2
A 50 N force is applied at 25° to the vertical. Write this force as a linear combination of the unit vectors.
A vector extends from the origin to the point (5, 8). Find the angle that the vector makes with the positive x-axis.
LEVEL 2
LEVEL 3
LEVEL 3
Two forces, with magnitudes 200 N and 95 N, act on an object at 15° to one another. Determine the magnitude of the resultant force acting on the object
LEVEL 3
LEVEL 4
LEVEL 3
LEVEL 4
Jojo wishes to swim from one side of a river, which has a current speed of 2 km/h, to a point on the other side directly opposite from the starting point. She can swim at a speed of 3 km/h in still water.a) At what angle to the bank should Jojo swim
if she wishes to swim directly across?b) If the river has a width of 300 m. How long
will it take for her to cross the river?
LEVEL 4
REQUIRED BEFORE NEXT CLASS
Review your notes for the whole chapter
Complete unfinished homework Check the website for updates (or stay
tuned on Facebook as to when I make updates on the website)
Add me on Facebook, Peter Bishop, but be sure to send a message along with it indicating which class you are in, and what section.
Join the Facebook group for Calculus and Vectors