Question

Let and u=<4, -1> and v=<3,5>. What is |u+v| rounded to the nearest hundredth?

Answer 1

Answer choices:

Answer 2

What do you have for |u+v| ?

Answer 3

I'm not sure?

Answer 4

u+v = ?

Answer 5

if you are not sure how to add vectors yet, then you are not prepared to solve this problem.

Answer 6

in order to add vectors, you simply add like components

<a,b> + <x,y> = <a+x, b+y>

then the question is asking you for the length of the resultant vector ....

Answer 7

I got <8, 4> by adding them..

Answer 8

Now what?

Answer 9

you must apply the formula for the norm of a vector. what expression do you get?

Answer 10

norm of the vector \((a,b)\) is the quantity \(\sqrt{a^2+b^2}\).

Answer 11

8^2 = 64 4^2 = 16
Square root 80 = 8.9

Answer 12

the sum is actually <7,4>. so the norm is sqrt(49+16) = sqrt(65) , that's almost sqrt(64), so ...