Define a scalar quantity.

A scalar quantity is a quantity that has magnitude but not direction.

What is a vector quantity?

A vector quantity is a quantity that has both magnitude and direction .

True or False? Mass is a scalar quantity.

True. Mass is a scalar quantity as it has only magnitude.

True or False? Distance is a vector quantity.

False. Distance is a scalar quantity.

Is 300 N a scalar or vector quantity?

300 N is a vector quantity. Newtons (N) are the unit of force , and force has both magnitude and direction ; therefore, force is a vector quantity.

Is 100 km due north a scalar or a vector quantity?

100 km due north is a vector quantity because it includes both a magnitude and a direction .

True or False? Energy is a scalar quantity.

True Energy is a scalar quantity. It has magnitude, but not direction.

Is temperature a scalar or a vector?

Temperature is a scalar quantity.

True or False? Weight is a scalar quantity.

False. Weight is a force, so it is a vector quantity. Mass is a scalar quantity.

What is the difference between speed and velocity?

Speed is a scalar quantity with only magnitude. Velocity is a vector quantity with both magnitude and direction.

State another name for the net vector .

Another name for the resultant vector is a resultant vector.

State the names of the two geometric methods used to combine vectors using addition or subtraction.

The names of the two methods used to combine vectors are: triangle method parallelogram method

True or False? The product of a scalar, mass, and a vector, acceleration, is a scalar.

False. The product of a scalar, mass, and a vector, acceleration, is a vector , force.

What is the opposite of combining vectors?

The opposite of combining vectors is resolving vectors.

True or False? A single resultant vector can be resolved into two vectors with the same effect as the original one.

True. A single resultant vector can be resolved into two vectors with the same effect as the original one.

How is the direction of a resultant vector measured?

The direction of a resultant vector is measured as the angle with respect to the vertical or the horizontal .

State the mathematical technique used to calculate the angle of a resultant vector.

The mathematical technique used to calculate the angle of a resultant vector is trignonometry .

State a non-algebraic method that can be used to combine or resolve vectors.

The non-algebraic method that can be used to combine or resolve vectors is scale drawing .

State the equipment needed to draw the lengths and angles of vectors accurately using a scale drawing.

The equipment needed to draw the lengths and angles of vectors accurately using a scale drawing is: pencil ruler protractor

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Scalars & Vectors (DP IB Physics)

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Define a scalar quantity.

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Cards in this collection (25)

Define a scalar quantity.
A scalar quantity is a quantity that has magnitude but not direction.
What is a vector quantity?
A vector quantity is a quantity that has both magnitude and direction.
True or False?
Mass is a scalar quantity.
True.
Mass is a scalar quantity as it has only magnitude.
True or False?
Distance is a vector quantity.
False.
Distance is a scalar quantity.
Is 300 N a scalar or vector quantity?
300 N is a vector quantity. Newtons (N) are the unit of force, and force has both magnitude and direction; therefore, force is a vector quantity.
Is 100 km due north a scalar or a vector quantity?
100 km due north is a vector quantity because it includes both a magnitude and a direction.
True or False?
Energy is a scalar quantity.
True
Energy is a scalar quantity. It has magnitude, but not direction.
Is temperature a scalar or a vector?
Temperature is a scalar quantity.
True or False?
Weight is a scalar quantity.
False.
Weight is a force, so it is a vector quantity. Mass is a scalar quantity.
What is the difference between speed and velocity?
Speed is a scalar quantity with only magnitude. Velocity is a vector quantity with both magnitude and direction.
State the possible ways vectors can be combined or resolved.
The possible ways vectors can be changed are:
- Combining through vector addition or subtraction
- Combining through vector multiplication
- Resolving into components through trigonometry
State another name for the net vector.
Another name for the resultant vector is a resultant vector.
State the names of the two geometric methods used to combine vectors using addition or subtraction.
The names of the two methods used to combine vectors are:
- triangle method
- parallelogram method
True or False?
The product of a scalar, mass, and a vector, acceleration, is a scalar.
False.
The product of a scalar, mass, and a vector, acceleration, is a vector, force.
What is the opposite of combining vectors?
The opposite of combining vectors is resolving vectors.
True or False?
A single resultant vector can be resolved into two vectors with the same effect as the original one.
True.
A single resultant vector can be resolved into two vectors with the same effect as the original one.
How is the direction of a resultant vector measured?
The direction of a resultant vector is measured as the angle with respect to the vertical or the horizontal.
State the mathematical technique used to calculate the angle of a resultant vector.
The mathematical technique used to calculate the angle of a resultant vector is trignonometry.
State the equation for the vertical component of the force $F$ at an angle $θ$ to the horizontal shown in the diagram.
The equation for the vertical component of the force $F$ at an angle $θ$ to the horizontal shown in the diagram is $F_{y} = F \sin θ$
Where:
- $F$ = resultant force, measured in newtons (N)
- $θ$ = angle of resultant force to horizontal, measured in degrees ( $°$ )
State the equation for the horizontal component of the force $F$ at an angle $θ$ to the horizontal shown in the diagram.
The equation for the horizontal component of the force $F$ at an angle $θ$ to the horizontal shown in the diagram is $F_{x} = F \cos θ$
Where:
- $F$ = resultant force, measured in newton's (N)
- $θ$ = angle of resultant force to horizontal, measured in degrees ( $°$ )
State a non-algebraic method that can be used to combine or resolve vectors.
The non-algebraic method that can be used to combine or resolve vectors is scale drawing.
State the equipment needed to draw the lengths and angles of vectors accurately using a scale drawing.
The equipment needed to draw the lengths and angles of vectors accurately using a scale drawing is:
- pencil
- ruler
- protractor
A scale of 2 cm = 1 km is given in a vector scale diagram. State the actual distance represented by 5 cm in the scale diagram.
The actual distance represented by 5 cm in the scale diagram is 2.5 km.
- $\frac{2 cm}{2} \times 5 = \frac{1 km}{2} \times 5$
- $5 cm = \frac{5}{2} km$
State the length of the 5.0 kN force on the scale drawing.
The length of the 5.0 kN force on the scale drawing is 5 cm.
A scale of 5 cm = 15 km is given in a vector scale diagram. State the actual distance represented by 7.5 cm in the scale diagram.
The actual distance represented by 7.5 cm in the scale diagram is 22.5 km.
- $\frac{5 cm}{5} \times 7.5 = \frac{15 km}{5} \times 7.5$
- $7.5 cm = \frac{45}{2} km$