Three girls skating on a circular ice ground of radius \(200\) m start from a point \(P\) on the edge of the ground and reach a point \(Q\) diametrically opposite to \(P\) following different paths as shown in the figure. The correct relationship among the magnitude of the displacement vector for three girls will be:

1. \(A > B > C\)
2. \(C > A > B\)
3. \(B > A > C\)
4. \(A = B = C\)

Subtopic:  Position & Displacement |
 85%
Level 1: 80%+
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\(\hat{i}\) and \(\hat{j}\) are unit vectors along the \(x,\) and \(y\text-\)axis respectively. What is the magnitude and direction of the vector \((\hat{i}-\hat{j})?\)
1. \(\sqrt2,~45^\circ\) with the \(x\text-\)axis.
2. \(\sqrt2,~-45^\circ\) with the \(x\text-\)axis.
3. \(\dfrac1{\sqrt2},~60^\circ\) with the \(x\text-\)axis.
4. \(\dfrac1{\sqrt2},~-60^\circ\) with the \(x\text-\)axis.
Subtopic:  Position & Displacement |
 66%
Level 2: 60%+
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