Thread: the component form of a vector + unit vector with same direction

i need to;

write in component for the vector with the initial point P(6,2) and the final point Q(3,7)

I think the answer is PQ = -3i +5j is that right?

later in the question I have to write a unit vector with the same direction and I have no idea how to do this.

Thanks for the help

ES

Originally Posted by El Sparko

i need to;

write in component for the vector with the initial point P(6,2) and the final point Q(3,7)

I think the answer is PQ = -3i +5j is that right?

Yes, that is correct.

later in the question I have to write a unit vector with the same direction and I have no idea how to do this.

Thanks for the help

ES

A unit vector has length 1. PQ is not a unit vector because its length is
You can change the length of a vector while not changing the direction by multiplying or dividing both components by the same number. And you can change the length to 1 by dividing by .

Originally Posted by HallsofIvy

A unit vector has length 1. PQ is not a unit vector because its length is
You can change the length of a vector while not changing the direction by multiplying or dividing both components by the same number. And you can change the length to 1 by dividing by .

dividing what part by \sqrt{34} ?

I said "dividing both components" of -3i+ 5j by .

yes, sorry I misread your first post. thanks very much for your help.