Show that in general a skew-symmetric tensor such as the spin tensor W has only one real principal value λ. Determine λ and the corresponding direction ˆn in terms of the components w1 = −W23, w2 = −W31, w3 = −W12 of the vector ˆω.

Lets say that an object of a certain volume has a certin mass. what happens to its mass when you double its volume?

The step-down transformer gives a current of 10a at 24v if the primary voltage is 240v calculate the 1_primary current 2_the power input 3_the power output

Mass (kg) force (n) 5 25 10 50 15 75 20 100 a student was trying to find the relationship between mass and force. he placed four different masses on a table and pulled them using a spring scale. the table shows the different masses used in the experiment and the force required to pull each mass. the student concluded that more force was required to pull heavier objects. what comment would you make regarding his conclusion? a) no clear relation can be observed between mass and force from the data. b) there is a direct proportion between the mass and force listed in the table. c) gravity should have been taken into account while performing the experiment. d) there is an inverse proportion between the mass and force listed in the table.