I need help with these questions

1. (a) In unit-vector notation, what is the sum of a = (3.7 m )i + (5.2 m )? and b = (- 17.0 m )7 + (8.1 m )7. What are (b) the magnitude and (c) the direction of a + 6 (relative to i)? (a) Number -13.3 13.3 Units m (b) Number 18.8 Units m (e) Number -45 Units "(degrees) 2 A car is driven east for a distance of 43 km, then north for 26 km, and then in a direction 310 east of north for 25 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction. (a) Number i Units (b) Number Units 3 An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.4 km, but when the snow clears, he discovers that he actually traveled 8.3 km at 480 north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i 6.14 Units km (b) Number i 1.5 Units . (degrees) An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (27.0, 37.0), (b,, -66.0), (-25.0, c,). (-87.0, -62.0). The overall displacement of the four darts has the xy components (-120, -31.0).What are (a) b, and (b) cy? What are the (c) magnitude and (d) angle (counterclockwise from the positive direction of the x axis) of the overall displacement? (a) Number Unit (b) Number i Unit (c) Number i Unit (d) Number i Unit Oasis B is 6.0 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a 5 direction 15.0 south of east and then walks 32 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180, 180]) should it walk? (a)