ACTIVITY 1.9
LINEAR COMBINATION OF THREE OR MORE VECTORS

Given three vectors,andand also three scalar, r, s and t (that is to say, three numbers), the vector
                                                           r+ s+ t
we will say that it is a linear combination of the vectors,and.

In the figure of the right you have two combinations linear of,and:

 The vector, that it is = 1.5+ 2+ 1.75
 The vector, that it is = 3 - 1.5+ 3.25

The linear combination concept may extend to any vector number, for example,

 5- 3+ 4- 2+

is a linear combination of five vectors.

INTERACTIVE ACTIVITY

Moving the green points, you draw the following vectors:

1) = 3+ 1.5+ 2

2) =++

3) = - 2+ 3+ 2.5

4) = 2- 3+ 4

5) = 1.5+ 1.75- 3

6) = -+ 2- 5

7) = 3- 2- 2

8) = ---

SOLUTION

END OF ACTIVITY 1.9
LINEAR COMBINATION OF THREE VECTORS