Question

Find the indicated quantity, given u = (-5, -9), v = (5, -8).Step 3 of 4: Find ||vll - 3. Round your answer to two decimal places.

Answer 1

To find ||v|| we can use the following formula:

`||v||=√(a^2+b^2)`

Where a and b are the coordinates of the vector. Replace a for 5 and b for -8:

`\begin{gathered} ||v||=√(5^2+(-8)^2) \\ ||v||=√(25+64) \\ ||v||=√(89) \\ ||v||=9.43 \end{gathered}`

Now, substract 3 from ||v||:

`||v||-3=6.43`

The answer is 6.43.