Vector Addition and Subtraction — Quiz

Question 1

Let magnitude of vector r is equal to 17 at an angle of 40 degrees and magnitude of vector s is equal to 14 at an angle of 160 degrees Which expression represents magnitude of vector r plus vector s ?

Revolt · Accepted Answer

square root of 17 squared plus 14 squared minus 2 17 14 cosine open paren 60 degrees close paren end root

Question 2

Let vector r with components seven comma one and vector s with components negative twelve comma negative three What is vector r minus vector s ?

Revolt · Accepted Answer

components 19 comma 4

Question 3

Let vector a with components five comma negative nine and vector b with components negative 3 comma 1 , and vector c is equal to vector b minus vector a What is the magnitude and direction angle of vector c ?

Revolt · Accepted Answer

magnitude of vector c is equal to 12 point 8 ; theta is equal to 128.7 degrees

Question 4

Let magnitude of u is equal to 10 at an angle of 45 degrees and magnitude of v is equal to 13 at an angle of 150 degrees , and vector w is equal to vector u plus vector v What is the magnitude and direction angle of vector w ?

Revolt · Accepted Answer

magnitude of w is equal to 14 point 2 ; theta is equal to 107.1 degrees

Question 5

Let vector u with components negative two comma negative three and vector v with components three comma negative one Which graph shows vector u minus vector v ?

Revolt · Accepted Answer

Image with description On a coordinate plane, vector v has origin (0, 0) and terminal point (3, negative 1), vector u has origin (0, 0) and terminal point (negative 2, negative 3), and vector u minus v has origin (0, 0) and terminal point (negative 5, negative 2).

Question 6

Let magnitude of vector q is equal to 5 at an angle of 45 degrees and magnitude of vector r is equal to 16 at an angle of 300 degrees What is magnitude of vector q minus vector r ?

Revolt · Accepted Answer

13 point 0

Question 7

Vector u has initial point at open paren 6 comma 8 close paren and terminal point at open paren 3 comma negative 2 close paren Vector v has initial point at open paren negative 4 comma negative 3 close paren and terminal point at open paren 1 comma negative 7 close paren What is u minus v in component form?

Revolt · Accepted Answer

components negative 8 comma negative 6

Question 8

For the vectors vector b with components two comma nine , vector v with components four comma negative eight , and vector w with components negative twelve comma four , what is vector u plus vector v plus vector w ?

Revolt · Accepted Answer

components negative 6 comma 5

Question 9

Which graph shows vector u plus vector v for the given vectors u and v ?

Revolt · Accepted Answer

Image with description On a coordinate plane, vector u has origin (0, 0) and terminal point (1, 4), vector u + v has origin (0, 0) and terminal point (3, 2), vector v has origin (0, 0) and terminal point (2, negative 2).

Question 10

Vector u has initial point at open paren 3 comma 9 close paren and terminal point at open paren negative 7 comma 5 close paren Vector v has initial point at open paren 1 comma negative 4 close paren and terminal point at open paren 6 comma negative 1 close paren What is vector u plus vector v in component form?

Revolt · Accepted Answer

components negative 5 comma negative 1

Vector Addition and Subtraction — Quiz Answers

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