Question

Equation editor does not include the grouping symbols “<“ and “>” that are necessary for writing a vector in component form. For this question use braces to write a vector in component form. For example the vector <2,3> should be written as {2.3}.

Answer 1

{12,2}

Explanation:

From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).

If initial point of a vector is
`(x_1,y_1)` and terminal point is
`(x_2,y_2)`, then

`\overrightarrow{v}=(x_2-x_1)i+(y_2-y_1)j`

Using this formula, we get

`\overrightarrow{v}=(7-(-5))i+(2-0)j`

`\overrightarrow{v}=12i+2j`

`\overrightarrow{v}=<12,2>`

Using braces, we get

`\overrightarrow{v}=\{12,2\}`

Therefore, the required vector is {12,2}.