Use the following vectors to answer the question.
u: <-1,7>
v: <6,4>
What is ||v||2?
To find the Euclidean norm of a vector (also known as the vector's length or magnitude), symbolized as ||v||2, you need to calculate the square root of the sum of the squares of the vector's components.
For this question, let's use the given vector, v: <6,4>.
First, square each component:
6^2 = 36
4^2 = 16
Next, add the squared components:
36 + 16 = 52
Finally, take the square root of the sum:
√52 ≈ 7.211
Therefore, ||v||2 is approximately 7.211.