Calculus: finding the value of orthogonal vectors?

Question

i was given to vectors: {x,1} and {4,x}

and the problem states: find the values of x such that the given vectors are orthogonal.

anyone have a clue as to how i am supposed to approach this problem? help!

Answer 1

Underlying fact: Two non-zero vectors are orthogonal exactly when their dot product is 0.

So take the dot product of the two vectors and set it equal to zero.  After that, all you have to do is solve for x.