Consider the three displacement vectors, vector A = ( -2.00ihatbold + 3.00jhatbold ) m, vector B = ( 8.00 i-hat+ -8.00 j-hat ) m, and vector C = ( -7.00 i-hat + 5.00 j-hat ) m. Use the component method to determine the following.
(a) The magnitude and direction of vector D = vector A + vector B + vector C .
|vector D |____
? ____? (from the +x axis)

(b) The magnitude and direction of vector E = -vector A - vector B + vector C .
|vector E |_____
?______? (from the +x axis)


A plane flies from base camp to Lake A, 225 km away in the direction 20.0? north of east. After dropping off supplies it flies to Lake B, which is 165 km at 30.0? west of north from Lake A. Determine the distance and direction FROM Lake B TO the base camp.
Distance _______

Direction ______.? I've figured out that the direction is southwest, however, i cannot figure out the degree.



An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 900 m, horizontal distance 19.9 km, and 23.0? south of west. The second aircraft is at altitude 1200 m, horizontal distance 17.8 km, and 34.0? west of south.
(a) Write the displacement vector FROM the first plane TO the second plane, letting i-hat represent east, j-hat north, and k-hat up.
( ____i-hat+ ________ j-hat + ______k-hat)

(b) How far apart are the two planes?
________

please help!! any help would be greatly appreciated!!
thanks in advance !!