Answer:
The vectors are neither parallel nor orthogonal.
Step-by-step explanation:
We are given the vectors as,
u = <8,4> and v = <10,7>
So, their dot product is given by,
u · v = <8,4> · <10,7> = 8×10 + 4×7 = 80 + 28 = 108 ≠ 0
<em>As, we know, Two vectors are orthogonal if their dot product is 0.</em>
Since, u · v = 108 ≠ 0
Thus, they are not orthogonal.
<em>Also, Two vectors are parallel if angle between them is 0° or 180°.</em>
So, we will find the angle between u and v.
As, ║u║ = = = = 8.94
As, ║v║ = = = = 12.2
So, we have,
i.e.
i.e.
i.e.
i.e.
Thus, θ ≈ 8.03°, which is not equal to 0° or 180°.
Then, the vectors are not parallel.
Hence, we see that the vectors are neither parallel nor orthogonal.