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Which of the following is correct about unit vectors?

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Important Questions on Motion in a Plane

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A vector of magnitude 5 units directed along +z-axis can be represented as
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Which of the following is a scalar quantity?
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The y-component of a velocity is v m s-1 and x-component of velocity is 3vm s-1. The direction of the body with the y-axis at this instant is
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A particle of mass 3 kg starts from rest and accelerates with constant acceleration a=(i^-3j^)m s-2, then velocity at t=2 s is
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A particle starts from origin moving with velocity v=3t2i^+4tj^m s-1, where t is time in second, then position (r) of particle as function of t is
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The velocity of particle is given by v=(3i^+6tj^)m s-1, where t is time in second, the equation of trajectory of particle is [Assume, particle starts from origin]
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If a body is thrown from the tower of height (h) with horizontal velocity v then which of the following is independent of initial velocity v?
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A man can swim with speed 5 m s-1. He wants to cross a 100 m wide river flowing at 3 m s-1 to reach the point directly opposite to his starting point, in which direction he should try to swim?