The magnitude of the resultant of two equal vectors, each of magnitude \(\mathrm{K}\) units and acting at right angle to each other is ____________
A. \(k\) B. -k C. \(1.4 \mathrm{k}\) D. \(2 \mathrm{k}\)
Correct Answer: C
Explanation
If two vectors each of magnitude \(\mathrm{K}\) units are inclined at right angle to each other, the resultant is obtained as: \(\mathrm{R}^2=\sqrt{\mathrm{K}^2+\mathrm{K}^2}=\sqrt{2 K^2}\) \(=\sqrt{2} \times \sqrt{\mathrm{K}^2}\) \(=1.4 \times \mathrm{K}\) \(=1.4 \mathrm{~K}\)
