Question

Question 1(Multiple Choice Worth 2 points)

Let u = <-7, -2>. Find 4u.

<-28, -8>
<-28, 8>
<28, -8>
<28, 8>
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 1 points)
Let u = <9, 4>, v = <-2, 5>. Find u + v.

<13, 3>
<14, 2>
<7, 9>
<11, -1>
Question 4(Multiple Choice Worth 1 points)
Given that P = (5, 1) and Q = (13, 8), find the component form and magnitude of vector PQ.

<-8, -7>, 113
<-8, -7>, square root of one hundred and thirteen
<8, 7>, square root of one hundred and thirteen
<8, 7>, 113
Question 5(Multiple Choice Worth 2 points)
Let u = <7, -3>, v = <-9, 5>. Find 4u - 3v.

<55, -27>
<1, 3>
<16, 12>
<-8, -6>

Answer 1

Q1. A Q2. ? Q3. C Q4. ? Q5. A

sorry i did not know 2 and 3

Answer 2

will tag-team n ans 2 n 4 here

2. Let u = <-4, -3>. Find the unit vector in the direction of u, and write your answer in component form.

unit vector is vector w/ magnitude of 1 in the same direction as u =u/|u|

|u| = sqrt (-4^2 + -3^2) = sqrt (16 + 9) = sqrt25
= 5

so unit vector is <-4/5, -3/5>

4. Given that P = (5, 1) and Q = (13, 8), find the component form and magnitude of vector PQ.

components <(13-5), (8-1)> = <8, 7>
magnitude = sqrt [(13-5)^2 + (8-1)^2] = sqrt(64+49) = sqrt(113)