Question

multiple choice question
a vector has been placed into its proper quadrant. if the x - axis component is positive, while the y - axis component is negative, in which quadrant is the vector located?
o i
o iii
o iv
o ii

Explanation:

In the Cartesian coordinate system:

• Quadrant I: \(x>0\), \(y > 0\)
• Quadrant II: \(x<0\), \(y>0\)
• Quadrant III: \(x < 0\), \(y<0\)
• Quadrant IV: \(x>0\), \(y < 0\)

Since the \(x -\)axis component (\(x\)) is positive (\(x>0\)) and the \(y -\)axis component (\(y\)) is negative (\(y < 0\)), the vector lies in Quadrant IV.

Answer:

IV