Question

Determine whether the vectors u and v are parallel, orthogonal, or neither.

Answer 1

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 2

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:

$u=kv\\\\=k\\\\=\\\\\text{ Comparing term wise term}\\\\9=36k\\\\k=\frac{9}{36}\\\\k=\frac{1}{4}\\\\Similarly,\\\\3=12k\\\\k=\frac{3}{12}=\frac{1}{4}$

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.