Angle Between Two Vectors

Problem
Calculate the acute angle between two intersecting surfaces whose equations are as follows:
$$2x - 4y - z = -5$$

$$3x + 4y + 5z = -6$$

A.   62.4° C.   42.6°
B.   64.2° D.   46.2°

 

Problem
What is the angle between zero-based vectors ${\bf V_1} = (-\sqrt{3}, ~ 1)$ and ${\bf V_2} = (2\sqrt{3}, ~ 2)$ in an x-y coordinate system?

A.   0° C.   150°
B.   180° D.   120°

 

 
 
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