Answer:
[tex]cos^{-1} (\frac{8}{[tex]\sqrt{113}[/tex]} )[/tex]
Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now [tex]|a|=\sqrt{113}\text{ } and\text{ } |b|=\sqrt{49}[/tex]. and [tex]a.b=8\ times 7+7\times 0[/tex] =56.
Now cosα=[tex]\frac{8}{\sqrt{113} }[/tex] so α= cosine inverse of that.
∴α=
[tex]cos^{-1} (\frac{8}{[tex]\sqrt{113}[/tex]} )[/tex]
