Given vectors u and v, find: 2u + 3v. 
u = 〈-1, 2〉, v = 〈3, 0〉

Find the magnitude and direction angle for each vector. Round angle measures to the nearest tenth, as necessary.

〈5, 7〉

Given vectors u and v, find: 2u + 3v.

u = 2i, v = i + j

Given vectors u and v, find: v - 3u. 

u = 2i, v = i + j

Given vectors u and v, find: 2u. 

u = 〈-1, 2〉, v = 〈3, 0〉

Given vectors u and v, find: v - 3u. 

u = 〈-1, 2〉, v = 〈3, 0〉

A force of 30.0 lb is required to hold an 80.0-lb pressure washer on an incline. What angle does the incline make with the horizontal?

Two people are carrying a box. One person exerts a force of 150 lb at an angle of 62.4° with the horizontal. The other person exerts a force of 114 lb at an angle of 54.9°. Find the weight of the box.

<IMAGE>

A crate is supported by two ropes. One rope makes an angle of 46° 20′ with the horizontal and has a tension of 89.6 lb on it. The other rope is horizontal. Find the weight of the crate and the tension in the horizontal rope.