Two vectors having magnitudes 5 cm and 10 cm make angle 30 and 60 respectively with x axis. Find the magnitude and direction of their cross product.
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having magnitudes 5 cm and 10 cm make angle 30 and 60 respectively with x axis. Find the magnitude and direction of their cross produ
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The angle between vectors is
θ=150-120=30°
The magnitude of their cross product:
c=ab sinθ=20(10) sin30=20(10)0.5=100 cm^2.
Two vectors lie in the xy-plane. Thus, their cross product oriented perpendicularly to this plane.
The direction of their cross product is z-direction.
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