Question

Help with vectors, please. Thanks

1) Express point in rectangular form. Give EXACT answer, if possible?
(2, 4π /11)

2) Given P = (2. -3) and Q = (-3, -4). find the component form of vector PQ

3) The vector v has a magnitude of 25 inches and a direction of 32° , Express this vector in rectangular form.

perform each operation with vectors u = < 6, 2 > and v = < -10, 1 >
4) u+v 5) -3u

Answer 1

(x,y) = (2cos 4π/11,2sin 4π/11)

P = (√26,arctan(-1/-5))

<b>v</b> = 25cos32°<b>i</b> + 25cos32°<b>j</b>

u+v = <(6-10),(2+1)>
-3u = <-3(6),-3(2)>

Answer 2

Thanks.

For #3, I did not realize he gave me multiple choice answers.
A) (-13.25, 21.20)
B) (-21.20, -13.25)
C) (13.25, 21.20)
D) (21.20, 13.25)

Answer 3

I figured it out and think both have to be positive so the answer is D. Let me know if I'm wrong

Answer 4

Looks good to me.