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The position of a particle is given by v...

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

A

X-axis

B

Y-axis

C

Z-axis

D

Line at equal angles to all the three axes

Text Solution

Verified by Experts

(1)`vecL=vecrxxvecp |hati (1) (2) hatj (2)(4) hatk (-1)(-2)|=0hati-hatj-2hatk=-hatj-2hatk`and the X-axis is given`hati+0hatj+0hatk` byDot product of these two vectors is zero i.e. angular momentum is perpendicular to X-axis.
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