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# Form 3 and Form 4

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### Form 3 and Form 4

1. 1. TING. 3 (TOPIC 1) POLygon II
2. 3. <ul><li>HOW IS RELATE TO VECTOR??? </li></ul><ul><li>Look at this example… </li></ul><ul><li>Example 1: </li></ul>Non-parallel vector P Q T S R
3. 4. <ul><li>SOLUTION: </li></ul>Parallelogram Law Polygon is used in addition and subtraction vector to make it more understand to solve the problem. That why polygon is relate to this subtopic
4. 5. <ul><li>Another example….. </li></ul>After this, you will see polygons is relate so much in the topic vector. Hope you will better understand after this. P Q R T S
5. 6. <ul><li>SOLUTION: </li></ul>Triangle Law ST and SR are parallel and ST =
6. 7. TING 3 (TOPIC 2) <ul><li>LINE & ANGLES II </li></ul><ul><li>(ANGLES ASSOCIATED WITH TRANVERSALS AND PARALLEL LINES) </li></ul>
7. 8. <ul><li>A tranversal is a straight line that intersect two or more straight line </li></ul><ul><li>The figure shows two parallel lines AC and DF intersected by the tranversal MN </li></ul><ul><li>Parallel line are lines on the same plane that never met, no matter how far </li></ul><ul><li>they extended </li></ul><ul><li>When two lines are intersected by a tranversal,they are parallel if </li></ul><ul><li>a) the corresponding angles are equal </li></ul><ul><li>b) the alternate angles are equal </li></ul><ul><li>c) the sum of interior angles is 180 0 </li></ul>A C D F N M
8. 9. <ul><li>We can use the knowledge about concept of parallel line related to the topic vector </li></ul><ul><li>especially in addition and subtraction of vector. </li></ul><ul><li>Addition of vector </li></ul><ul><li>For example: </li></ul>The vector is the resultant of the vector and is represented mathematically as . Note that the vector has the same direction and The example above for the addition of vector that is parallel.There are many example that can relate the concept parallel line to addition and subtraction of vector.
9. 10. <ul><li>Example 2 </li></ul><ul><li>In the diagram , PQRS is a trapezium with PQ parallel to SR . Given that </li></ul>S P Q R S
10. 11. <ul><li>Solution: </li></ul>PQ and SR are parallel Magnitude of the resultant vector and
11. 12. TING 3 (TOPIC 3) <ul><li>ALGEBRAIC EXPRESSION III </li></ul>
12. 13. <ul><li>Multiplication algebraic without simplication </li></ul><ul><li>Multiplication algebraic involving denominator with one term </li></ul><ul><li>For example : Find </li></ul><ul><li>WHAT IS THE RELATIONSHIP BETWEEN </li></ul><ul><li>ALGEBRAIC EXPRESSION AND VECTOR??? </li></ul>Multiply algebraic expression with numerator We use algebraic expression to solve problems especially in addition and subtraction vector. Obviously, it use algebraic expression when to express any vector in any term such as in terms of and
13. 14. <ul><li>Now,let take a look at this example….. </li></ul><ul><li>Algebraic expression is related to this subtopic vector </li></ul><ul><li>(addition and subtraction of vector) </li></ul><ul><li>In the diagram, PQR is a triangle . T is a point on RQ such that 2RT= 3TQ and </li></ul><ul><li>S is a point on PQ such that 4PS = SQ . Given that </li></ul><ul><li>determine each of the following vectors in terms of and </li></ul>P S Q T R
14. 15. Expand single bracket with one term
15. 16. Expand and multiply two algebraic terms with fraction Thus, as we can see from the example above subtopic addition and subtraction of vector is connected to the algebraic expression as we always use to solve problem relate to vector
16. 17. TING 4 (TOPIC 1) <ul><li>THE STRAIGHT LINE </li></ul>
17. 18. <ul><li>The straight line is a line that does not curve. In geometry a line is always </li></ul><ul><li>a straight (no curve). </li></ul><ul><li>In coordinate geometry, lines in a Cartesian plane can be described algebraically by linear equations and linear functions. In two dimensions, the characteristic equation is often given by the slope-intercept form: </li></ul><ul><li>where: </li></ul><ul><li>m-slope of the line </li></ul><ul><li>c- the y-intercept of the line </li></ul><ul><li>x- the independent variable of the function y </li></ul>The examples of straight line
18. 19. <ul><li>The concept of straight line is used in the topic vector. </li></ul><ul><li>WHY???....BECAUSE vector also is a straight line dan doesn’t have a curve. </li></ul><ul><li>That is main properties of vector, STRAIGHT LINE. </li></ul><ul><li>How it relate to the subtopic vector (addition and subtraction of vector)??? </li></ul><ul><li>Let, take a look at it now…. </li></ul><ul><li>The diagram shows the vectors . Express it terms of </li></ul>E F H G
19. 20. SOLUTION: Resultant vector Subtraction of vector Thus, the straight line is the basic concept of vector. By knowing the knowledge of straight line, we know the direction and magnitude of the vector that can be used in the subtopic (addition and subtraction of vector). That why, STRAIGHT LINE is important to vector E F G H