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In this lesson, we will learn how to do operations on vectors graphically (addition and subtraction and scalar multiplication) using triangle and parallelogram rules.

Q1:

Find the components of the vector , where and .

Q2:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

What are the coordinates of its initial point?

What are the components of the vector?

Q3:

In the given figure, π΄ π· β© π΅ πΆ = { π } , π π΄ = π π· , and π π΅ = π πΆ . Complete the following: ο π΄ π΅ is equivalent to .

Q4:

Given the information in the diagram below, if ο π΅ πΆ = π ο πΈ π· , find π .

Q5:

The blue vector represents the complex number π§ ο§ . The green vector represents the vector π§ ο¨ . What does the red vector represent?

Q6:

Given the information in the diagram below, if ο π΅ π· = π ο π· π΄ , find π .

Q7:

In the given figure, π΄ π΅ πΆ π· πΈ πΉ is a regular hexagon with centre π . Complete the following: ο π΄ π΅ is equivalent to .

Q8:

Using the given figure, complete the following: | | ο π π | | = and ο π π = .

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