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The vector from (1,-1,2) to (2,2,2) will have direction (2,2,2)-(1,-1,2) which is (1,3,0) so the vector equation is r =(1,-1,2) + s(1,3,0) where s is a scalar.

In any essay question, you need to split it into two parts - outline (AO1) and evaluate (AO3). The AO1 is worth 6 marks out of the total 16, so you would want to briefly describe the key features of the b...

The angular velocity is equal to 2 times pi divided by the time period. So we have an angular velocity of pi radians per second. The centripetal force is given by mass times the radius times the angular v...

When faced with a problem like this, it is always a good idea to draw a rough sketch of what might be going on. With the help of a diagram, we notice that PNT is a right angled triangle w...

Perfect competition is the most competitive market structure with many firms holding a small market share and no barriers to entry. There are no pure real-world examples ...