Question 1(multiple choice worth 1 points)
let u = < -3, -5> , v = < -3, 1> . find u + v.
< -2, -8>
< -8, -2>
< 0, -6>
< -6, -4>
question 2(multiple choice worth 2 points)
let u = < -8, -9> . find 7u.
< -56, 63>
< -56, -63>
< 56, -63>
< 56, 63>
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.
< 1, 1>
vector with two components. first component, negative four divided by twenty five. second component, three divided by twenty five.
vector with two components. first component, negative four divided by seven. second component, three divided by seven.
vector with two components. first component, negative four divided by five. second component, three divided by five.
question 4(multiple choice worth 2 points)
let u = < -5, -9> , v = < 6, 8> . find -8u - 2v.
< 52, 88>
< -8, 2>
< 112, -28>
< 28, 56>
question 5(multiple choice worth 1 points)
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 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.