1. ## Perpendicular Vectors

Hello!
I wasn't sure where to post this thread, but I hope it is the correct place
It's about perpendicular vectors. I apologise if the question seems a bit messy, as I don't know how to use Latex, but I have tried to do my best.

The question is:
The vectors 2x and x+1 are perpendicular for two values of x.
x-3 5

a) Write down the quadratic equation which the two values of x must satisfy.
b) Find the two values of x.

Thanks,
Amine

Hello!
I wasn't sure where to post this thread, but I hope it is the correct place
It's about perpendicular vectors. I apologise if the question seems a bit messy, as I don't know how to use Latex, but I have tried to do my best.

The question is:
The vectors 2x and x+1 are perpendicular for two values of x.
x-3 5

a) Write down the quadratic equation which the two values of x must satisfy.
b) Find the two values of x.
Your two vectors are $\displaystyle \left\langle {2x,x-3} \right\rangle \;\& \,\left\langle {x +1,5} \right\rangle$.
To be perpendicular this must be true: $\displaystyle (2x)(x+1)+(x-3)(5)=0$.