Would you mind giving me some help on Q3 b and c, and Q4 d. Would really appreciate it. Thanks
I think you can do 3b yourself. Draw a diagram with one vector east of another - what can you say about their components? The thinking is similar to part a.
3c is harder but a diagram will help. You need a diagram with the origin and the position vector of the sandbank. Then show on your diagram where the boat could lie if the sandbank is north-west of it.
You need to use your diagram to work out the vector that goes from the boat to the sandbank. This vector is in the north-west direction so must have the form -ki + kj.
If you're stuck then this is going to be tough to explain on an internet forum. It would helo if you post any diagram that you're drawn.
I think you can do 3b yourself. Draw a diagram with one vector east of another - what can you say about their components? The thinking is similar to part a.
3c is harder but a diagram will help. You need a diagram with the origin and the position vector of the sandbank. Then show on your diagram where the boat could lie if the sandbank is north-west of it.
You need to use your diagram to work out the vector that goes from the boat to the sandbank. This vector is in the north-west direction so must have the form -ki + kj.
If you're stuck then this is going to be tough to explain on an internet forum. It would helo if you post any diagram that you're drawn.
Okay thanks, I think I have managed to do that. Any tips for question 4 part d? Thanks
Yes that's correct for the position vector of the boat.
If the boat is to collide with the lighthouse, there will be a time when the position vector of the boat is equal to 25i+23j.To find the this time you can set the i component of the boat equal to 25. Then verify that the time you get gives you a j component of 23.
Yes that's correct for the position vector of the boat.
If the boat is to collide with the lighthouse, there will be a time when the position vector of the boat is equal to 25i+23j.To find the this time you can set the i component of the boat equal to 25. Then verify that the time you get gives you a j component of 23.