Physics: Scalars and Vectors

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What is a scalar in physics?

A physical quantity with only a direction

A physical quantity with neither magnitude nor direction

A physical quantity with only a magnitude (correct)

A physical quantity with both magnitude and direction

What is the direction of a vector from North Carolina to California?

East

North

West (correct)

South

Which of the following is an example of a vector?

Temperature

Displacement (correct)

Mass

Volume

What is the symbol used to represent a vector?

A single capital letter with an arrow above it Signup and view all the answers

What are two vectors called if they have the same direction and magnitude?

Equal vectors Signup and view all the answers

What are two vectors called if they are in opposite directions?

Anti-parallel vectors Signup and view all the answers

What are two or more vectors called if they have a common initial point?

Co-initial vectors Signup and view all the answers

What is the magnitude of a vector from USA to China?

11600 km Signup and view all the answers

What is the magnitude of a vector A when its x and y components are given?

A = √(Ax² + Ay²) Signup and view all the answers

If a force F is applied to an object and it is displaced by a distance s, what is the work done?

W = Fs cosθ Signup and view all the answers

What is the direction of a vector A when its x and y components are given?

θ = tan⁻¹(Ay/Ax) Signup and view all the answers

What is the scalar product of two vectors A and B?

A ∙ B = AB cosθ Signup and view all the answers

What is the effect of multiplying a vector by a scalar?

It changes the magnitude of the vector Signup and view all the answers

What is the geometrical meaning of scalar dot product?

Product of magnitude of one vector and component of another vector Signup and view all the answers

What is the power of an object when force and velocity are given?

P = Fv cosθ Signup and view all the answers

What is the property of scalar product?

It is commutative Signup and view all the answers

What is the scalar product of two perpendicular vectors?

0 Signup and view all the answers

What is the direction of the vector product A × B?

Perpendicular to both A and B Signup and view all the answers

What is the scalar product of two parallel vectors?

AB cos 0 ° Signup and view all the answers

What is the physical quantity that can be calculated using the vector product r × F?

Torque Signup and view all the answers

What is the geometric meaning of the vector product A × B?

The area of the parallelogram made by A and B Signup and view all the answers

Is the scalar product A ∙ B equal to B ∙ A?

Yes, always Signup and view all the answers

What is the property of the vector product that makes it distributive over addition?

Distributive Signup and view all the answers

What is the vector product of a vector with itself?

A null vector Signup and view all the answers