Given vectors u=(3,5) and v=4,-4), determine the quantity -4u--2v

what is -4u?

i'm not sure... if it helps, the question looks like

-4u = -4(3,5) = (-4*3, -4*5) = (-12, -20) So -4u = (-12, -20) So what is -2v?

(-8,8)

good, so -4u--2v becomes (-12, -20) - (-8,8)

then what's next?

do you subtract -12--8 and -20-8?

yes, you subtract the corresponding components

so then its (-4,-28)

bingo

but the answers that i have to choose from are round numbers like -40 -256 -8 -64 88

hmm one sec while I reread it

maybe they want the dot product, I think i mistook that dot for a minus So this means that -4u dot -2v becomes (-12, -20) dot (-8,8) which turns into -12*(-8) + (-20)*(8) = 96 - 160 = -64

so -4u dot -2v = -64

oh, that makes more sense. i think that i did the same thing! no wonder it didn't work before.

yeah strange how they used a - (well a small - in my opinion) instead of a dot

yeah, i will have to keep an eye out for that next time. Thanks!

you're welcome