Worksheet: Scale Diagrams

In this worksheet, we will practice using scale diagrams to represent the resultants of combined vector quantities and the components of vectors.

Q1:

Some vectors are drawn to scale on a square grid. Which color vector shows the resultant of the black vectors A and B?

  • AOrange
  • BRed
  • CGreen
  • DBlue

Q2:

Some vectors are drawn to scale on a square grid. The green vector is the vertical component of the red vector. The blue vector is the horizontal component of the red vector. What is the angle between the red vector and its horizontal component?

Q3:

The forces acting on an object are represented by blue and green vectors that are drawn to scale on a square grid. The red vector is the resultant of the green vector and the blue vector. What is the angle between the blue vector and the vector that represents the resultant force on the object?

Q4:

Some vectors are drawn to scale on a square grid. Which color vector shows the resultant of the black vectors A and B?

  • AOrange
  • BGreen
  • CBlue
  • DRed

Q5:

The resultant force acting on an object is represented by a red vector that is drawn to the scale of the ruler in the diagram with a blue vector representing the horizontal component of the force. The vectors are drawn on a square grid. The sides of the squares are 1 cm long. What is the length of the vector representing the vertical component of the resultant force?

Q6:

Some vectors are drawn to the scale of the ruler on a square grid. The sides of the squares are 1 cm long. The red vector is the resultant of the blue and green vectors. What is the length of the resultant vector, measured to the nearest centimeter?

Q7:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The red vector is the resultant of the blue and green vectors. What is the length of the resultant vector measured to the nearest centimeter?

Q8:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The green vector is the vertical component of the red vector. What is the length of the horizontal component of the red vector?

Q9:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The blue vector is the horizontal component of the red vector. What is the length of the vertical component of the red vector measured to the nearest centimeter?

Q10:

The forces acting on an object are represented by blue and green vectors that are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The red vector is the resultant of the blue and green vectors. What is the length of the resultant vector, measured to the nearest centimeter?

Q11:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The green vector is the vertical component of the red vector. What is the length of the horizontal component of the red vector?

Q12:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The blue vector is the horizontal component of the red vector. What is the length of the vertical component of the red vector measured to the nearest centimeter?

Q13:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The green vector is the vertical component of the red vector. What is the length of the horizontal component of the red vector measured to the nearest centimeter?

Q14:

Some vectors are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The red vector is the resultant of the blue and green vectors. What is the length of the resultant vector measured to the nearest centimeter?

Q15:

The forces acting on an object are represented by blue and green vectors that are drawn to the scale of the ruler in the diagram. The squares of the grid have sides 1 cm in length. The red vector is the resultant of the blue and green vectors. What is the length of the resultant vector measured to the nearest centimeter?