If w = <-8, 15>, find ||w||.
To find the magnitude or norm of vector w, denoted as ||w||, you can use the following formula:
||w|| = sqrt(w1^2 + w2^2),
where w1 and w2 are the components of vector w.
Given that w = <-8, 15>, we can substitute these values into the formula to find its magnitude:
||w|| = sqrt((-8)^2 + 15^2)
= sqrt(64 + 225)
= sqrt(289)
= 17.
Therefore, the magnitude or norm of vector w, ||w||, is 17.