Consider the vectors    and  , where and are real numbers.

If these vectors are linearly dependent, then

Consider the three vectors    and  ,  where    is a real constant.

Find the values of for which the three vectors are linearly independent.  (4 marks)

The vectors    and    will be linearly dependent when the value of is

1. 1
2. 2
3. 3
4. 4
5. 5

For the vectors  ,    and    to be linearly dependent, the value of    must be

1. 0
2. 1
3. 2
4. 3
5. 4

Find value of    for which the vectors  ,    and    are linearly dependent.  (3 marks)

Consider the four vectors  ,  ,    and  .

Which one of the following is a linearly dependent set of vectors?

Let    and  , where    is a real constant.

If the scalar resolute of    in the direction of    is  ,  then    equals

A.   1

B.   2

C.   3

D.   4

E.   5