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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Physics (PH)
Vector calculus
is this a trick question or is it as straight forward as it looks
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Paltu Sen Best Answer
yes this is a tricky question. from rotational matrices (see attachment) we can see that for rotation about x-axis the x-component of a vector remains invariant and other components change, for rotation about y-axis only y-component of a vector remains invariant. Similarly for z-rotation. now a vector remains invariant if each of its component remains same. here rotation about x-axis is given. so x-compt. of the vector remains same.but if the vector contains any y or z-compt. these values change under such rotation. this means if the vector contains any y or z components the vector cannot be invariant. so it must contain only x-compt. From the given options opt: (c) has only x-compt. so it should be the right one.