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The position of a particle is given by vecr = hati + 2hatj - hatk and its linear momentum is given by vecp= 3hati+4 hatj - 2hatk. Then its angular momentum, about the origin is perpendicular to

Answer»

yz-plane
Z-axis
y-axis
x-axis

Solution :`vecL = vecr xx vecp = |{:(hati , HATJ , hatk), (1, 2, -1) , (3 , 4 , -2):}|`
`= hati (-4 + 4 ) - hatj (-2 + 3) + hatk (4 - 6) = 0 hati 0 1 hatj - 2hatk`
`vecL` has components along-yaxis and -z axis but it has no component in the x-axis . The angular MOMENTUM is in yz plane i.e., perpendicular to x-axis .


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