Question

vectors

Answer 1

So if we say \[
\mathbf v = \langle
x, y,z
\rangle
\]Then \[
\mathbf v = \langle
500\sin(50^\circ), 500\cos(50^\circ),20
\rangle
\]

Answer 2

They probably want you to calculate out those angles though.

Answer 3

So if we say \[
\mathbf v = \langle
x, y,z
\rangle
\]Then \[
\mathbf v = \langle
-500\sin(50^\circ), 500\cos(50^\circ),20
\rangle
\]

Answer 4

500 sin(50) = 383
500 cos(50) = 321

Answer 5

v = <383 miles,321 miles,20 miles>

Answer 6

Do you understand how I got it?

Answer 7

ya the triangle using trig

Answer 8

why is sin negative tho

Answer 9

\(x\) is going in a negative direction.

Answer 10

By the way, we're assuming the earth is flat.

Answer 11

ohk...so the components of displacement would be <-500sin(50), 500cos(50), 20> right

Answer 12

and i still can't get why is sin negative

Answer 13

Because west is the negative x direction and east is the positive x direction.

Answer 14

oh ya...thanks for reminding...and thanks for solution