Question

Does anyone understand Vector Addition?

Answer 1

what's your question

Answer 2

Well it tells me to Find and Sketch (a) u+v, (b) u-v, and (c) 2u-3v

3. u=<2,1>, v=<1,3>

Answer 3

to add any two vectors, you add up the corresponding components

Answer 4

so

u+v = <2, 1> + <1, 3>

u+v = <2+1, 1+3>

u+v = <3, 4>

Answer 5

to sketch it, you can plot the 3 points (2, 1), (1, 3) and (3, 4)

these 3 points would be the tips of the vectors. The tails of all 3 vectors would be at the origin (0,0)

you could also use the parallelogram law or head-to-tip rule to sketch

Answer 6

the same is done for part b, but you are multiplying each component of v by -1, then you add

for part c, you multiply each component of u by 2 and each component of v by -3, then you add

Answer 7

oh okay. but i still dont understand the graphing part?

Answer 8

here's a blank xy axis

Answer 9

now here are the vectors u = <2, 1> and v = <1, 3>

Answer 10

the resultant u+v is the vector <3, 4>