Question
Download Solution PDFFigure 4.1 shows the orientation of two vectors u and v in the XY plane.
If u =
v =
which of the following is correct?
Answer (Detailed Solution Below)
Option 2 : a, p and b are positive while q is negative.
Detailed Solution
Download Solution PDFExplanation :
As can be seen from the above figure,
For a given vector u = , having its tail at origin we observe that,
→The x-component of u has the projection on the positive x-axis.
Therefore a is positive.
→The y-component of u has the projection on the positive y-axis.
Therefore b is also positive.
→For a given vector v = , when it is translated to the origin such that its direction does not change we observe that
→The x-component of v has the projection on the positive x-axis.
Therefore p is positive.
→The y-component of v has the projection on the negative y-axis.
Therefore q is negative.