Question

Write the ordered pair that represents vector YZ.

Y(-2, 5), Z(1, 3)

and write the magnitude

Answer 1

you cant multiply vectors? is it dot or cross?

Answer 2

i get confused

Answer 3

well are you studing cross product or dot product?

Answer 4

the ordered pair of YZ isnt a multiple it is when one is the origin so if you bring one point to the origin the other will change by the same amount

Answer 5

ahh

Answer 6

so to bring the x value of vector Y to zero you add two so you add two to vector Z's x component. same with the y component. to get Y's y component you subtract 5 so do the same to Z's.
so the ordered pair is (3,-2)

Answer 7

ok i understand that

Answer 8

the magnitude is the magnitude of that ordered pair from the origin so \[\sqrt{3^{2}+(-2)^{2}}\]

Answer 9

because that is the formula for distance and also magnitude of a vector

Answer 10

ok so helpful thanks!!!!!

Answer 11

no problem :) glad to help

Answer 12

Find an ordered pair to represent vector a if vector b = <6, 3> and vector c = <-4, 8>.

Answer 13

a=2b+c

Answer 14

how would i do this? if you don't mind helping again

Answer 15

there is a scalar on vector b and adding vectors is adding components. so for example
b=<b1,b2> and c =<c1,c2> so 2b=<2b1,2b2> and 2b+c = <2b1+c1, 2b2+c2>

Answer 16

in your vectors b =<6,3> c=-4,8>
so 2b = <12,6>
and 2b+c = <12+-4,6+8> = <8,14> = a