Find the angle between the given vectors to the nearest degree.
a.
110.7
c.
108.4
b.
71.6
d.
112.5

Given:

Given that the two vectors are u = (7,-4) and v = (1,5)

We need to determine the angle between these two vectors.

Dot product of u and v:

The dot product of u and v is given by

Magnitude of u:

The magnitude of u is given by

Magnitude of v:

The magnitude of v is given by

Angle between the two vectors:

The angle between the two vectors can be determined using the formula,

Substituting the values, we get;

Thus, the angle between the two vectors is 108.4°

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

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