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Vector Proof

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by

Mr Mattock

on 4 October 2016

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Transcript of Vector Proof

Vector Proof
Starter
Main Activity
Plenary
L.O. Prove geometrical properties with vectors.
Find the vector from K to L.

Find the vector from K to J.

Do you notice anything?
Starter
Find the vector from K to L.
2
a
+ 3
b
Find the vector from K to J.
4
a
+ 6
b
Do you notice anything?
One is double the other
What have we proved?
KL =
2
a
+ 3
b
KJ =
4
a
+ 6
b

One is double
the other.
What have we proved?
KL =
2
a
+ 3
b
KJ =
4
a
+ 6
b

One is double
the other.

They lie on a straight line

KL = LJ
Complete the Vector Proof sheet.

Main Activity Answers
(a) Yes (b) Yes (c) No (d) No (e) Yes (f) No

(a) 5:3 (b) 1:2 (c) 2:1 (d) 1:1 (e) 2:1 (f) 1:3

3:2

(a) p + q (b) p - q (c) 2q

(d) The lines are parallel (and AD is 1.5 x bigger than
MN)
Plenary
1
2
1
2
1
2
1
2
Key
Examples

Activities
Activity
Answers

Worked
Example
Full transcript