10. Three velocities in km/hr are 4^i - 2j+
5^k, -2^i+ 2^j + 3^k,
7^i + 3^j + 4^k. What is average of the
velocities in km/hr?
i +^j+4^k
3^i - ^j + 4^
3^i+^j- 4^
3^i + ^j + 4^
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Answer: The average of the three velocities is 3i + j + 4k
Explanation:
The vector sum of the 3 velocities is
(4^i - 2j+5^k) + (-2^i+ 2^j + 3^k) + (7^i + 3^j + 4^k)
= 9 i + 3j + 12k
Now the average velocity is (9 i + 3j + 12k) / 3 [ Since there are three terms]
= 3i + j + 4k
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