Vector Components and Pythagorean Theorem

The video tutorial explains how to use vector diagrams to calculate horizontal and vertical components of forces. It introduces the use of Pythagoras theorem and trigonometric functions like sine and cosine to determine these components. The tutorial provides a detailed example using a resultant force of 9 Newtons and an angle of 40 degrees, demonstrating how to calculate the vertical and horizontal components using a scientific calculator.

What are the essential tools needed to calculate vector components?

• A scientific calculator and a textbook

• A compass and a graph paper

• A calculator and knowledge of Pythagoras' theorem

• A ruler and a protractor

What does Pythagoras' theorem help us determine in a right triangle?

• The length of the hypotenuse

• The area of the triangle

• The perimeter of the triangle

• The sine and cosine of an angle

In vector diagrams, what does the horizontal component represent?

• The hypotenuse of the triangle

• The tangent of the angle

• The cosine of the angle

• The sine of the angle

What is the term used for the overall force in a vector diagram?

• Equilibrium force

• Balanced force

• Resultant force

• Net force

How do you calculate the vertical component of a force in a vector diagram?

• Add the force to the sine of the angle

• Multiply the force by the sine of the angle

• Divide the force by the sine of the angle

• Multiply the force by the cosine of the angle

In the given example, what is the magnitude of the resultant force?

• 15 Newtons

• 12 Newtons

• 5 Newtons

• 9 Newtons

What is the angle used in the example to calculate the components?

• 40 degrees

• 60 degrees

• 30 degrees

• 50 degrees

What is the calculated horizontal component in the example?

• 5.79 Newtons

• 6.80 Newtons

• 7.50 Newtons

• 8.20 Newtons