Vectors u = (9,3) and v = (36,12) are parallel. Because vector “v” is a multiple of vector “u”.
The two vectors can also be written as;
(9,3) = 4 x (9,3)
Hence there is only the addition of a scalar quantity “4”.Answer: Vectors u and v are parallel.
Step-by-step explanation:
Since we have given that
u=<9,3>
and v=<36,12>
First we write it as in parallel condition:
[tex]u=kv\\\\<9,3>=k<36,12>\\\\<9,3>=<36k,12k>\\\\\text{ Comparing term wise term}\\\\9=36k\\\\k=\frac{9}{36}\\\\k=\frac{1}{4}\\\\Similarly,\\\\3=12k\\\\k=\frac{3}{12}=\frac{1}{4}[/tex]
Since both have same constant of proportionality i.e.'k'.
So, it is parallel.
And if it is parallel, then, it can't be perpendicular.
Hence, vectors u and v are parallel.
