(a) A man covers 3 equal distances with the speed 40km/hr , 60 km/hr , 80 km/hr . Calculate the average speed . (b) The resultant of two vectors A⃗ and B⃗⃗ perpendicular to vector A⃗ and its magnitude is equal to half of the magnitude of the vector B⃗⃗ . Find out the angle between A⃗ and B⃗⃗
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Explanation:
They are unit vectors, so , and their sum is a unit vector, so . We want to find the angle between the vectors, which is given by . Thus, we need to find the dot product of these two vectors. Thus, or 120 degrees.
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