2. Velocity and acceleration of a particle at some instant are
V = (31 - 4j + 2 k)m/s and a = (21 +1 -2K)m/s^2?
1 What is the value of dot product of v and a at the given instant?
2What is the angle between v and a, acute, obtuse or 90.
3 at the given instant, whether speed of the particle is increasing, decreasing or constant?
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Answer:
1 THE ANNUAL PROFITS EARNED BY 30 SHOPS IN A SHOPING COMPLEX IN A LOCALITY GOVE RISE TO THE FOLLOWING DISTRIBUTION rn PROFIT (IN LAKHS RS) NO OF SHOPS rn MORE THAN OR EQUAL TO 5 30 rnrn MORE THAN OR EQUAL TO 10 28 rn MORE THAN OR EQUAL TO 15 16 rn MORE THAN OR EQUAL TO 20 14 rn MORE THAN OR EQUAL TO 25 10 rn MORE THAN OR EQUAL TO 30 7 rn MORE THAN OR EQUAL TO 35 3 rn DRAW MORE THAN OGIVE FOR THE DATA ABOVE HENCE OBTAIN THE MEDIAN PROFIT
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Answer:
1 ) dot product of both is 6 - 4 - 4 = -2
2 ) obtuse angle
3 ) speed is decreasing in the given situation
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