1 / 10

VECTORS IN GEOMETRY

VECTORS IN GEOMETRY. 5 0. -3 -2. 3 2. -2 -4. 6 0. -5 0. 2 -4. 2 4. -1 4. -3 0. -4 0. STARTER – VECTOR SHAPES. AIM: UNDERSTAND VECTOR NOTATION. The shape is an isosceles triangle. 1). 2). The shape is a parallelogram. 3). The shape is a trapezium.

stampere
Télécharger la présentation

VECTORS IN GEOMETRY

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. VECTORS IN GEOMETRY

  2. 5 0 -3 -2 3 2 -2 -4 6 0 -5 0 2 -4 2 4 -1 4 -3 0 -4 0 STARTER – VECTOR SHAPES AIM: UNDERSTAND VECTOR NOTATION The shape is an isosceles triangle 1) 2) The shape is a parallelogram 3) The shape is a trapezium Try adding the vectors in each question. What answer do you get each time?

  3. STARTER – VECTOR SHAPES AIM: UNDERSTAND VECTOR NOTATION Write the vectors to draw a:- 1) Rectangle 2) Kite 3) Right-angled triangle Rhombus 4) Add up your vectors each time and make sure that your totals are correct.

  4. VECTOR SHAPES-MULTIPLY BY A SCALAR Write the vectors to draw a:- 1) Rectangle 2) Now redraw your rectangle, enlargement scale factor 2, and write down your vectors Compare your vectors from question 1 and question 2. What do you notice? 3) Repeat the above drawing a kite and then enlarging it scale factor 3. 4)

  5. AB = BC = AC = 2 3 1 -5 3 -2 RESULTANT VECTORS – FIND THE SHORTEST JOURNEY 1) Draw a diagram to show the following journey. Now join up A to C and find the vector 2)

  6. BC = AB = AC = AB = AC = AC = BC = AB = BC = 3 -1 3 2 5 4 0 4 1 3 5 0 -2 4 4 2 5 -2 RESULTANT VECTORS – FIND THE SHORTEST JOURNEY 1) 2) 3) Can you find a quicker way of finding the resultant vector than drawing the diagram?

  7. MAIN – VECTORS IN GEOMETRY • Vectors show magnitude (length) and direction • The symbol for a vector is a bold letter • Vectors on a coordinate grid are shown by a column vector • Vectors are equal if they have the same length and the same direction. The position of the vector on the grid does not matter. • Equal vectors have identical column vectors • A negative sign reverses the direction of the vector

  8. AM = NO = PF = IN = OI = NI = DV = XF = NP = DE = PN = XU = OC = MAIN – VECTORS IN GEOMETRY a b b a Find the vectors for:- -2a -3a 2a a 2b 3b -3b -2b a + b -a-b 2a + 2b

  9. A a B AD = BA = BC + AC = AB + DB = AB CD DC CB AD = BC AC + + + b D 2a C CD MAIN – VECTORS IN GEOMETRY AIM:Write vectors in terms of a,b or a and b -a = a + b = 2a - b = a + b – 2a = a + b –2a = -a + b or b - a = -a + b or b - a

  10. K B a A AC KL = BC = BL CA = BA + BL = AB = KB + b L M C ½ BC MAIN – VECTORS IN GEOMETRY AIM:Write vectors in terms of a,b or a and b K,L and M are mid-points of AB,BC and CA respectively 2a -2b = -2a + 2b = 2b – 2a = b – a What does this mean about KL and AC? = a + b – a = b

More Related