Components of Vectors: Magnitude and Angle

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What is the formula to find the magnitude of a vector?

A = Ax^2 + Ay^2

A = √(Ax)^2 + (Ay)^2 (correct)

A = √(Ax + Ay)^2

A = Ax + Ay

What is the angle of the vector measured from?

The origin

The +y-axis

The -x-axis

The +x-axis (correct)

What is the formula to find the angle of a vector?

θ = cot^-1 (Ax/Ay)

θ = sin^-1 (Ay/Ax)

θ = tan^-1 (Ay/Ax) (correct)

θ = cos^-1 (Ax/Ay)

What is the x-component of the vector?

Ax = A cos(θ) Signup and view all the answers

What is the y-component of the vector?

Ay = A sin(θ) Signup and view all the answers

Which of the following is true about the magnitude of a vector?

It is always positive Signup and view all the answers

What is the direction of the force exerted by Ivan on the blocking sled?

East Signup and view all the answers

What is the magnitude of the force exerted by Eugene on the blocking sled?

270 N Signup and view all the answers

What is the result of combining the forces exerted by Ivan and Eugene on the blocking sled?

A force of 440 N, southeast Signup and view all the answers

Which of the following quantities has both magnitude and direction?

Velocity Signup and view all the answers

What is the measure of the amount of matter in an object?

Mass Signup and view all the answers

Which of the following is an example of a scalar quantity?

Mass Signup and view all the answers

What is the formula to find the total resultant displacement?

A = √(Ax)² + (Ay)² Signup and view all the answers

If Ax = 31 m and θ = 37°, what is the value of Ay?

18.66 m Signup and view all the answers

What is the angle θ measured from?

The x-axis Signup and view all the answers

If a vector has a magnitude of 58.80 m, what is the formula to find its x-component?

Ax = A cos(θ) Signup and view all the answers

What is the value of Ax when A = 3 cm and θ = 40°?

2.30 cm Signup and view all the answers

What is the purpose of finding the vector components Ax and Ay?

To split the vector into two perpendicular components Signup and view all the answers