Answer:
Orthogonal
Step-by-step explanation:
We are given that a=<9,6>
b=<-4,6>
When two vectors are orthogonal then
[tex]a\cdot b=0[/tex]
Using the formula
[tex]<9,6>\cdot <-4,6>[/tex]
[tex]-36+36=0[/tex]
Hence, vectors a and b are orthogonal.
When two vectors are parallel then
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
[tex]\frac{a_1}{a_2}=\frac{9}{-4}=-\frac{9}{4}[/tex]
[tex]\frac{b_1}{b_2}=\frac{6}{6}=1[/tex]
[tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]
Hence, vectors are not parallel.
