Question

If the vector an is given by u=(25,-30), which of the following represents -(2)/(5) U ?

Answer 1

The vector -(2)/(5)U is (-10, 12), obtained by multiplying each component of U by -(2)/(5).

Step-by-step explanation:

If the vector u is given by u=(25,−30), and you want to find − 2/5 u, you simply multiply each component of u by − 2/5.

So, the resulting vector v=− − 2/5 u is given by:

v=− − 2/5 ⋅(25,−30)=(- − 2/5 ⋅25,− 2/5⋅(−30))

Simplify each component:

v=(−10,12)

Therefore, − 2/5 u=(−10,12).

So, the resulting vector is (−10,12). Each component of the original vector

u has been multiplied by -2/5 to obtain the corresponding components of -2/5u.