Question

Obviously the quadrant that a vector is in determines the sian of the x and y component vectors Trigonometry and Vectors Given a vector, you can now draw they and component vectors. The sum of vectors x and y describe the The advantage is that math on the vandlor exactly. Again, any math done with the component vectors will be as valid as with the original vector. and minus signs instead of degrees Best antage is that math on the x and/or v axis is greatly simplified since direction can be specified with plus Us Signs instead of degrees. But how do you mathematically find the length of the component vectors? Use trigonometry. coso-adi sine opp hyp 10 hyp ady hypcose x = hypcoso x = 10 cos 40 x=7.66 opp = hyp sine y = hypsine y = 10 sin 40° y=643 11. Solve the following problems. You will be converting from a polar vector, where direction is specified in degrees measured counterclockwise from east, to component vectors along the x and y axis. Remember the plus and minus signs on you answers. They correspond with the quadrant the original vector is in Hint Draw the vector first to help you see the quadrant. Anticipate the sign on the x and y vectors. Do not bother to change the angle to less than 90° Using the number given will result in the correct + and signs. The first number will be the magnitude (length of the vector) and the second the degrees from east. Your calculator must be in degree mode. Example: 250 at 235 b. 6.50 at 345° x = hyp cose x = 250 cos 235° 235° x=-143 250 y = hypsine y = 250 sin 235 y = -205 c. 0.00556 at 60° a. 89 at 150°

A through G please

Answer 1

A] x = 89 cos 150 degree = -77.08

y = 89 sin 150 degree = -44.5

B] x = 6.5 cos 345 degree = 6.28

y =  6.5 sin 345 degree = -1.68

C] x = 0.00556 cos 60 degree = 0.00278

y = 0.00556 sin 60 degree = 0.004815

D]x = 7.5*10^4 cos 180 degree = - 7.5*10^4

y = 7.5*10^4 sin 180 degree = 0

E]x = 12 cos 265 degree = -1.046

y = 12 sin 265 degree = -11.95

F]x = 990 cos 320 degree = 758.4

y = 990 sin 320 degree = -636.4

G] x = 8653 cos 225 degree = -6118

y = 8653 sin 225 degree = -6118