Page 281 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

The coordinates of the ending point can also be obtained from calculation by adding column matrices.
EXERCISE 13.5
A vector 3 translates the point A (4, 7) (5 )
to an end point B (x, y). Find the coordinates of the ending point B.
A vector -2 translates the point P (-6, 8) (-7)
to an end point Q (x, y). What are the coordinated of the ending point Q?
A vector 4 translates the point X (9, -3) (-9)
to an end point Y (x, y). Determine the coordinates of the ending point Y.
A vector ( 8 ) translates the point U -7
(-5, -4) to an end point V (x, y). State the coordinates of the ending point V.
Complete the following table.
(a)
(b)
(5, 2) → ( 52 ) (position vector)
( 5 ) ( 7 ) ( 5 + 7 ) ( 12 ) So 2 + 4 = 2 + 4 = 6
1.
2.
3.
4.
5.
12 → (12, 6) ()
(-5, 7) →(-5) 7
(point)
-6
(-5) (-5) (-5 + [ -5]) So + =
7 -4 -7 + [ -4] =(-5 -5)
7 -4
(position vector)
(c)
(5, -2) → (5 ) (position vector) -2
( 5 ) + (-8 )= ( 5 + [ -8] ) -2 6 -2 + 6
( 5 - 8) 4
(-3 ) → (-3, 4) (point) 4
So
(-10)→ (-10, 3) 3
= (-10) 3
(point)
Starting point
Vector
Ending point
(-7, 4) (-9, -6) (8, -3) (5, 7) (-8, 5) (-10, -7) (12, -5) (15, 4)
(3 ) -5
( 43 )
(-5)
(1 ) -2
-3
(3 ) -2
( 63 )
(-4)
(9 ) -9
-8
Starting point expressed as a position vector + Column vector = Ending point expressed as a position vector
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