1.2 Scalars and Vectors

• Match the scalar quantity with its unit:

  Mass ↔️ kg

  Time ↔️ s

  Temperature ↔️ °C

  Energy ↔️ J

  Volume ↔️ L

  Speed ↔️ km/h
• Match the vector quantity with its description:

  Displacement ↔️ Change in position

  Velocity ↔️ Rate of change of displacement

  Acceleration ↔️ Rate of change of velocity

  Force ↔️ Push or pull on an object
• What is the magnitude and direction of the vector displacement given in the table?

  10 meters east
• Match the scalar quantity with its example:

  Mass ↔️ 5 kg

  Time ↔️ 10 s

  Temperature ↔️ 20 °C

  Energy ↔️ 100 J

  Volume ↔️ 2 L

  Speed ↔️ 50 km/h
• The unit of mass is kilograms
• Vectors are defined by their magnitude and direction
• Scalars have magnitude but no direction
• Vector subtraction involves adding the negative of a vector.


  True
• Scalars are physical quantities that have magnitude but no direction. Examples include mass, time, temperature, and energy
• What is an example of a scalar quantity?

  Mass
• Velocity is an example of a vector quantity.


  True
• Vectors require both magnitude and direction to be fully specified.

  True
• What is the unit for energy in scalar quantities?

  Joules
• What are scalars defined as in physics?

  Magnitude only
• Scalars require both magnitude and direction to be fully specified.

  False
• What are vectors defined as in physics?

  Magnitude and direction
• What is the key difference between scalars and vectors in terms of examples?

  Magnitude vs. direction
• Energy is a scalar quantity.


  True
• What is an example of a scalar quantity?

  Mass
• Scalar quantities have both magnitude and direction.

  False
• Vector quantities include displacement and velocity.


  True
• Match the aspect with its correct category:

  Definition ↔️ Magnitude only ||| Magnitude and direction

  Examples ↔️ Mass, time, temperature ||| Displacement, velocity, force

  Representation ↔️ Single number with unit ||| Number, unit, and direction
• What is a physical quantity that has both magnitude and direction called?

  Vector
• What is the defining characteristic of scalars?

  Magnitude only
• Steps to add two vectors using the parallelogram method:

  1️⃣ Position the tails of both vectors at the same point

  2️⃣ Construct a parallelogram using the vectors as adjacent sides

  3️⃣ Draw the diagonal from the common tail to the opposite vertex
• In vector subtraction, one vector's direction is reversed