The vectors e1 = are called the elementary vectors in r2. (a) find all solutions c1, c2 such that ciei + c2e2 = 0. (b) show that any point (i. e. vector), (2, y), in r2 can be written as a linear combination of ej and e2-in a rather obvious way. question 2. now consider the vectors u1 = ( 1 and us = [ -1 ]: (a) find all solutions c1, c, such that cu + cu2 = 0. (b) show that any point (i. e. vector), (x, y), in r2 can be written as a linear combination of u and u.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?