The vector <4 -7>is orthogonal to the vector <3 k>. The vector <2 m> is orthogonal to the vector <3 k>. Find m.
The dot product of orthogonal vectors = 0
So
4*3 + -7*k = 0
12 - 7k = 0
12 = 7k
k = 12/7
And
2*3 + (12/7)* m = 0
6 + (12/7)m = 0
(12/7)m = - 6
m = -6(7/12) = - 7/2
