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Type: Multiple-Choice
Category: Vectors
Level: Grade 11
Standards: HSN-VM.B.4, HSN-VM.B.4b
Score: 1
Author: nsharp1
Created: 5 years ago

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Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b

If ||n||=2||m||, the direction of n is 40°, and the direction of m is 160°, in which quadrant does the sum of these vectors lie, and why?
  1. Quadrant I, since the resulting direction of the sum of the vectors is 70°.
  2. Quadrant I, since the resulting direction of the sum of the vectors is 30°.
  3. Quadrant II, since m is much farther from the positive x-axis than n (even though ||m||<||n|| ).
  4. Along the positive y-axis (so not in any quadrant), since the direction of the sum of the vectors is 90°.