Find the direction and magnitude of the following vectors. Part A A =( 28 m )x^+

Question

Find the direction and magnitude of the following vectors.

Part A

A =( 28 m )x^+( -13 m )y^

Express your answer in degrees using three significant figures.

Part B

Express your answer in meters using two significant figures.

Part C

B =( 4.5 m )x^+( 20 m )y^

Express your answer in meters using two significant figures.

Part D

Express your answer in meters using two significant figures.

Part E

A +B

Express your answer in degrees using three significant figures.

Part F

Express your answer in meters using two significant figures.

Find the direction and magnitude of the following vectors.

Part A

A =( 28 m )x^+( -13 m )y^

Express your answer in degrees using three significant figures.

A=    counterclockwise from the positive xaxis

Part B

Express your answer in meters using two significant figures.

|A | =   m  

Part C

B =( 4.5 m )x^+( 20 m )y^

Express your answer in meters using two significant figures.

B=    counterclockwise from the positive xaxis

Part D

Express your answer in meters using two significant figures.

|B | =   m  

Part E

A +B

Express your answer in degrees using three significant figures.

A +B =    counterclockwise from the positive x axis

Part F

Express your answer in meters using two significant figures.

|A +B | =   m  

Explanation / Answer

here,

A = 28 m i - 13 m j

A)

thetaA = arctan(13/28) = 335.1 degree counterclockwise from +x axis

B)

|A| = sqrt(28^2 + 13^2)

|A| = 30.9 m

C)

B = 4.5 i m + 20 j m

thetaB = arctan(20/4.5)

thetaB = 77.3 degree from +x axis

D)

magnitude ,|B| = sqrt(4.5^2 + 20^2)

|B| = 14.8 m

E)

R = A + B

R = 32.5 i m + 7 j m

thetaR = arctan(7/32) = 12.3 degree from +x axis

F)

magnitude , |R| = sqrt(32.5^2 + 7^2)

|R| = 33.2 m

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.