1.)a) Find the magnitude of -+, where= (23.3, 61.1),= (88.5, -152.0). 222.851

b) Find the direction of -+, where= (23.3, 61.1),= (88.5, -152.0). Express the angle counterclockwise relative to the positivex-axis.

2.)The Earth's orbit has a radius of 1.5210¹¹ m, and that of Mercury has a radius of 6.9810¹⁰ m. Consider these two orbits to be perfect circles (though in reality they are ellipses with slight eccentricity). a) What is the length of a vector from Earth to Mercury (take the direction from Earth to Sun to be 0) when Mercury is at the maximum angular separation in the sky relative to the Sun.

b) What is the direction of a vector from Earth to Mercury (take the direction from Earth to Sun to be 0) when Mercury is at the maximum angular separation in the sky relative to the Sun.