1.1 Scalars and Vectors in One Dimension

• What defines a vector quantity?

  Magnitude and direction
• Scalars have magnitude but no specific direction
• What is an example of a vector quantity?

  Velocity
• Scalars have direction, whereas vectors do not

  False
• Vectors are quantities with both magnitude and direction
• What is the term for the size of a vector?

  Magnitude
• Scalars are represented by bold symbols

  False
• When vectors in one dimension point in opposite directions, their magnitudes are added

  False
• What is an example of a vector quantity?

  Force
• Scalars are defined by their magnitude alone, whereas vectors are defined by both magnitude and direction
• How do you combine two vectors pointing in the same direction?

  Add their magnitudes
• Scalars have only a magnitude, while vectors have both magnitude and direction
• Vectors are denoted by a bold symbol
• When vectors point in opposite directions, their magnitudes are subtracted
• If two vectors in opposite directions are subtracted, their magnitudes are added.

  True
• What happens to the magnitude of a vector when multiplied by a scalar?

  It is multiplied by the scalar's absolute value
• Match the scalar with its real-world example:

  Mass ↔️ Mass of an object

  Temperature ↔️ Temperature of a room

  Time ↔️ Time spent on a task

  Speed ↔️ Speed of a moving car
• What is absent in a scalar quantity?

  Direction
• What defines a scalar quantity?

  Magnitude only
• Scalars have direction, while vectors do not

  False
• Match the type of quantity with its characteristic:

  Scalar ↔️ Magnitude only

  Vector ↔️ Magnitude and direction
• Vectors are defined by both magnitude and direction
• What is an example of a scalar quantity?

  Mass
• Match the feature with the quantity type:

  Scalars ↔️ Magnitude alone

  Vectors ↔️ Magnitude and direction
• Vectors are represented notationally by a bold symbol
• Steps for vector addition in one dimension when vectors have the same direction

  1️⃣ Add the magnitudes of the vectors
• What is a key characteristic of a scalar quantity?

  No direction
• When two vectors in one dimension point in opposite directions, their sum is found by subtraction

  True
• Match the characteristic with the quantity type:

  Scalars ↔️ Magnitude only

  Vectors ↔️ Magnitude and direction
• What defines a scalar quantity?

  Magnitude alone
• Vectors have both magnitude and direction.

  True
• How are scalars represented notationally?

  Single number
• What is vector addition in one dimension?

  Combining vectors on the same line
• What is vector subtraction in one dimension?

  Subtracting vectors on the same line
• Scalar multiplication of a vector affects both its magnitude and direction
• A negative scalar reverses the direction of a vector.

  True
• The velocity of a plane is an example of a vector
• Vectors measure quantities with both magnitude and direction.


  True