SOLUTION: What is the direction and magnitude of v =

SOLUTION: What is the direction and magnitude of v = < -3.5, -12>

Question 1062725: What is the direction and magnitude of v = < -3.5, -12>
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
A vector of the form is taken to be "from the origin" to the point (x,y), and in that direction.
Magnitude = = =

�
Direction can be found from �>
= . There is another step: we must keep in mind that the point (-3.5,-12) is in quadrant 3
while is in quadrant 1 (because positive angles are measured counter clockwise from +x-axis), so we must add (the period of the tan() function) to get the proper angle: as measured CCW from the +x-axis.
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