Question

Who can solve this question?I will mark them as branlist.​

Answer 1

See below

Explanation:

`\overrightarrow a= \bigg((5)/(\sqrt 34),\:(3)/(\sqrt 34)\bigg)`

We have to show that
`\overrightarrow a` is an unit vector.

To show this, we will find the modulus of
`\overrightarrow a` and if its value is 1, it will be a unit vector.

So,

`| \overrightarrow a| = \sqrt{\bigg((5)/(\sqrt 34) \bigg) ^(2)+\bigg((3)/(\sqrt 34)\bigg)^(2) } \\ \\ | \overrightarrow a| = \sqrt{(25)/( 34) +(9)/( 34) } \\ \\ | \overrightarrow a| = \sqrt{(25 + 9)/( 34) } \\ \\ | \overrightarrow a| = \sqrt{(34)/( 34) } \\ \\ | \overrightarrow a| = √(1) \\ \\ | \overrightarrow a| = 1`

Thus,
`\overrightarrow a` is a unit vector.