Question

I need help with this question.

Answer 1

Answer:

$cos^{-1} (\frac{8}{[tex]\sqrt{113}$} )[/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 $|a|=\sqrt{113}\text{ } and\text{ } |b|=\sqrt{49}$. and $a.b=8\ times 7+7\times 0$ =56.

Now cosα=$\frac{8}{\sqrt{113} }$ so α= cosine inverse of that.

∴α=

$cos^{-1} (\frac{8}{[tex]\sqrt{113}$} )[/tex]