Let the vector u be ai + bj.

u*v = (ai + bj)(6i + 3j) = 6a + 3b = 12

u*w = (ai + bj)(2i + j) = 2a + b = 14

Solve the simultaneous equations

6a + 3b = 12 and 2a + b = 14

We...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

Let the vector u be ai + bj.

u*v = (ai + bj)(6i + 3j) = 6a + 3b = 12

u*w = (ai + bj)(2i + j) = 2a + b = 14

Solve the simultaneous equations

6a + 3b = 12 and 2a + b = 14

We see that the system has no solutions as 6a + 3b = 12

=> 2a + b = 6

but 2a + b = 14

**Therefore it is not possible to find a vector u which satisfies the given constraints.**