Question

Use the vector w = 16, −12 to find the indicated quantity

Answer 1

||w|| - 17 = 3

The result is a SCALAR

Step-by-step explanation

Given:

w = (16, -12)

Desired Result:

||w|| - 17

Determine the norm ||w||

`\begin{gathered} ||w||=√(16^2+(-12)^2) \\ ||w||=√(256+144) \\ ||w||=√(400) \\ ||w||=20 \end{gathered}`

Determine ||w|| - 17

`||w||-17=20-17=3`

Hence, the result is a scalar quantity becuase it has only magnitude.