Question

If 3 m/s , 4 m/s , 12 m/s are respectively x, y, and z-components of the velocity of an object at any time 't', in the space, then resultant velocity of the object at that time is:​

Answer 1

Answer:

Given

x-component = 3i

y-component = 4j

z-component = 12k

$resultant \: velocity \: = 3i \: + 4j \: + 12k \\ = \sqrt{ {3}^{2} + {4}^{2} + {12}^{2} } \\ = \sqrt{9 + 16 + 144} \\ = \sqrt{169} \\ = 13m {s}^{ - 1}$