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Given that n = (

āˆ’12
5
) and s = (
1
āˆ’1
), Find the
vector q such that |š’’|= 35 and q is in the
direction of (n + 5s).

First, let's find the direction of (n + 5s):

n + 5s = (-12, 5) + 5(1, -1) = (-12, 5) + (5, -5) = (-7, 0)

Now, we want to find the unit vector in the direction of (-7, 0):

The magnitude of the vector (-7, 0) is |-7| = 7

The unit vector is: (-7/7, 0) = (-1, 0)

Finally, we want to find the vector with magnitude 35 in the direction of (-1, 0):

q = 35 * (-1, 0) = (-35, 0)

So, the vector q is (-35, 0).