ALP#2

vector addition

DO NOT SELECT THIS COLUMN

Magnitude of Vector

Direction of Vector

Magnitude and Direction of Vector

100

<3,5> + <9,2>

What is <12,7>

<3+9,5+2> = <12,7>

100

<3,2> - <7,1>

What is <-4,1>

<3-7,2-1>=<-4,1>

100

<3,9>

What is √90 or 9.487

√(3)²+(9)²=√9+81=√90

100

<4,7>

What is 60.251 degrees

tan^-1(7/4)

100

<6,2>

What is √40 (or 6.325) and 18.4349 degrees.

√(6)²+(2)²=√40

tan^-1(2/6)=18.4349

200

<-7,22>+<3,-10>

What is <-4,12>

<-7+3,22+(-10)>=<-4,12>

200

<-13,12> - <12,-2>

What is <-25,14>

<-13-12,12+2>=<-25,14>

200

<6,6>

What is √72 or 8.485

√(6)²+(6)²=√36+36=√72

200

<9,3>

What is 18.4349 degrees

tan^-1(3/9)

200

<18,5>

What is √349 (or 18.682) and 15.5241 degrees

√(18)²+(5)²=√349

tan^-1(5/18)=15.5241

300

<3.15,9>+<-4,4.5>

What is <-0.85,13.5>

<3.15+(-4),9+4.5>=<-0.85,13.5>

300

<6.25,3.99> - <6,-3>

What is <0.25,6.99>

<6.25-6,3.99+3>=<0.25,6.99>

300

<3.5,9>

What is √93.25 or 9.657

√(3.5)²+(9)²=√12.25+81=√93.25

300

<3.19,5>

What is 57.4621 degrees

tan^-1(5/3.19)

300

<-7,6>

What is √85 or 9.220 and 139.399 degrees

√(-7)²+(6)²=√85

180 - tan^-1(6/-7)= 139.399 degrees

400

Vector u:
Magnitude: 10 , Direction Angle: 45 degrees.

Vector v:
Magnitude: 20, Direction Angle 135 degrees.

Find u+v in component form.

What is

<-5sqrt(2)/2 , 15sqrt(2)/2>

<-3.536 , 10.607>

400

(4i-3j)-(2i+4j)

What is (2i-7j)

((4i-2i)+(-3j-4j))=(2i-7j)

400

<1.25,12.63>

What is √161.0794 or 12.692

√(1.25)²+(12.63)²=√1.5625+159.5169= √161.0794

400

<-6,5>

What is 140.194 degrees

180 - tan^-1(5/6) = 140.194 degrees

400

<4.82,3>

What is √32.2324 (or 5.677) and 31.8984 degrees

√(4.82)²+(3)²=√32.2324

tan^-1(3/4.82)=31.8984

500

<-5, 2>+<3, -3.5>

Find the magnitude and direction of the resultant.

What is

Magnitude: 2.5
Direction: arctan(1.5/2) + 180 = 216.870

500

(3i-3.4j)-(4j+2i)

What is (i-7.4j)

((3i-2i)+(-3.4j-4j))

500

<0.1,0.3>

What is √0.1 or 0.316

√(0.1)²+(0.3)²= √0.01+0.09=√0.1

500

<9.23,-2.2>

What is -13.4065 degrees (or 346.5935 degrees)

360 - tan^-1(2.2/9.23) = 346.5935 degrees

500

<-9.32,6.8>

What is √133.1024 (or 11.537) and 216.115 degrees

√(-9.32)²+(6.8)²=√133.1024

180 + tan^-1(6.8/9.32)=216.115