Question 1(multiple choice worth 2 points)
let u = < 7, -3> , v = < -9, 5> . find 4u - 3v.

< 55, -27>
< 1, 3>
< 16, 12>
< -8, -6>
question 2(multiple choice worth 1 points)
let u = < -3, -5> , v = < -3, 1> . find u + v.

< -2, -8>
< -8, -2>
< 0, -6>
< -6, -4>
question 3(multiple choice worth 2 points)
let u = < -4, -3> . find the unit vector in the direction of u, and write your answer in component form.

vector with two components. first component, negative four divided by five. second component, negative three divided by five.
< 1, 1>
vector with two components. first component, negative four divided by seven. second component, negative three divided by seven.
vector with two components. first component, negative four divided by twenty five. second component, negative three divided by twenty five.
question 4(multiple choice worth 2 points)
let u = < -7, -2> . find 8u.

< 56, 16>
< -56, 16>
< -56, -16>
< 56, -16>
question 5(multiple choice worth 1 points)
given that p = (5, 9) and q = (13, 12), find the component form and magnitude of vector pq.

< -8, -3> , 73
< 8, 3> , 73
< -8, -3> , square root of seventy three
< 8, 3> , square root of seventy three
question 6 (essay worth 2 points)
two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.