Find the distance between the two vectors.
\[
u=(4,-1), v=(1,4)
\]

Answer

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Final Answer: The distance between the two vectors is \(\boxed{5.83}\)

Steps

Step 1 ：Given two vectors u=(4,-1) and v=(1,4).

Step 2 ：We are asked to find the distance between these two vectors.

Step 3 ：The distance between two vectors in a 2-dimensional space can be calculated using the Euclidean distance formula. The formula is given by: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Step 4 ：Substitute the coordinates of the two vectors into the formula: (x1, y1) = (4, -1) and (x2, y2) = (1, 4).

Step 5 ：Calculate the result to find the distance between the two vectors.

Step 6 ：Final Answer: The distance between the two vectors is \(\boxed{5.83}\)

Find the distance between the two vectors.\[u=(4,-1), v=(1,4)\]

Answer

Popular Problems

Find the distance between the two vectors.
\[
u=(4,-1), v=(1,4)
\]