Question

Help with vectors

Answer 1

Which of the following is a vector that has a direction angle of θ = 67° and a magnitude of 3/7 Round your answer to the nearest tenth.

Answer 2

(0.2,-0.4)

(0.4, 0.2)

(- 0.4 0.2)

( 0.2, 0.4)

Answer 3

I am having issues finding the magnitude because 3/7= .428 and (.2)^2+(-.4)^2=.447

Answer 4

so basically they all have the same magnitude

Answer 5

oh wait

Answer 6

the formula to get this is ||v||cosTheta and our theta is 67

Answer 7

I'm really confused by that :/ do you solve for both y and x?

Answer 8

each vector is <x,y>

divide each answer choice, the coordinates y over x and see which are equal to tan(67)

tan(67) is approximately equal to 2.355852

Answer 9

also, keep in mind that the vector is in quadrant 1 as shown above

Answer 10

with what you said means that both of them are positive

Answer 11

Yes.

Answer 12

well it would be .4/.2

Answer 13

it gives you exactly 2 though s:

Answer 14

yes that's the closest we get

Answer 15

there is roundoff error

Answer 16

Ah i see

Answer 17

Thank you

Answer 18

np