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A vector is 4.5 units long at 0.70 radians. Express the vector as ( x, y )^T.

Answer:

vector oriented at 0.7 radians

Draw a sketch.
Calculate x by projecting the length onto the x-axis: 4.5*cos( 0.70 ) = 3.442
Calculate y by projecting the length onto the y-axis 4.5*sin( 0.70 ) = 2.899
Check answers against the sketch.

Lost Bugs

Lost Lady Bugs

Time for another story problem.

Lola the Ladybug has lost her friend Lulu. Luckily, Lola has a cell phone.

Lola is located at the point (1, -4).
Lulu is located at the point ( -4, 3).

QUESTION 10:

Call up Lola and tell her in what direction and for what distance she should walk to reach her friend Lulu.