Given that p = (2, 9) and q = (4, 14), find the component form and magnitude of vector pq.

< 2, 5> , square root of twenty nine
< -2, -5> , 29
< 2, 5> , 29
< -2, -5> , square root of twenty nine
question 2(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 3(multiple choice worth 2 points)
let u = < -5, -9> , v = < 6, 8> . find -8u - 2v.

< 52, 88>
< -8, 2>
< 112, -28>
< 28, 56>
question 4(multiple choice worth 2 points)
let u = < -8, -9> . find 7u.

< -56, 63>
< -56, -63>
< 56, -63>
< 56, 63>
question 5(multiple choice worth 1 points)
let u = < 9, 4> , v = < -2, 5> . find u + v.

< 13, 3>
< 14, 2>
< 7, 9>
< 11, -1>
question 6 (essay worth 2 points)
two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

1.3.4 practice : modeling: solving linear equations in this assignment, you may work alone, with a partner, or in a small group. discuss the results of your work and/or any lingering questions with your teacher. your assignment: road trip you're taking a scenic road trip down ca-highway 1 from san jose, california, to los angeles. you plan to split the drive into two days, stopping for one night. choose one town to stop in, and find the driving distance for the second day. 1. circle the town you chose to stop in. (1 point) santa barbara: an image of palm trees san luis obispo: an image of a church 2. why did you choose this town? (1 point) 3.what do you know? .what do you want to find out? .what kind of answer do you expect? define the variable. 4. what is the variable x for this problem? (1 point) write the equation. 5. write an equation showing that the distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles. (4 points: 2 points for each side of the equation) isolate the variable. 6. what inverse operation do you need to perform on both sides to isolate x in the equation? (2 points: 1 point for the correct number, 1 point for the correct operation) solve the equation. 7. solve the equation for x. interpret the answer in terms of the problem. (2 points: 1 point for the solution, 1 point for the interpretation) check your solution. 8. to confirm that your answer is correct, add the two days' distances. this should equal the total distance from san jose to los angeles. show your work as an equation. (3 points: 1 point for the setup, 2 points for the correct answer)