Question

Do the indicated calculation for the vectors u = (5,-2) and v= (-4,7) |2u|-|v |2u|-|vl=0 (Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

To calculate |2u|-|v|/|2u|-|v|, we find the magnitudes of the vectors and substitute them into the formula. The final answer is sqrt(104) - sqrt(65) / sqrt(104) - sqrt(65).

Step-by-step explanation:

To calculate the value of |2u|-|v|/|2u|-|v|, we first need to find the values of |2u| and |v|.

The magnitude of a vector can be calculated using the formula |v| = sqrt(vx^2 + vy^2), where vx and vy are the components of the vector in the x and y directions respectively.

Using this formula, we find that |2u| = sqrt((2 * 5)^2 + (2 * -2)^2) = sqrt(104) and |v| = sqrt((-4)^2 + 7^2) = sqrt(65).

Substituting these values, we get |2u|-|v|/|2u|-|v| = sqrt(104) - sqrt(65) / sqrt(104) - sqrt(65).

This expression cannot be simplified further. Therefore, the final answer is sqrt(104) - sqrt(65) / sqrt(104) - sqrt(65).

Learn more about Vector Magnitude