**Unformatted text preview: **50 N exerted at an angle of 20 ◦ above the horizontal. Find the horizontal and vertical components of the force. 12.2.3: (a) Consider the line which is tangent to the curve y = 2 cos 2 x at the point ( π/ 6 , 1) . Find all unit vectors that are parallel to this line. (b) Find all unit vectors that are perpendicular to this line. (c) Sketch the curve y = 2 cos 2 x , the tangent line described above, and all of the unit vectors described above. Draw all of the unit vectors starting at the point ( π/ 6 , 1) . 12.3.1: (a) Under what circumstances is comp a b = comp b a ? (b) Under what circumstances is proj a b = proj b a ? 12.3.2: Use a scalar projection to show that the distance from a point ( x 1 ,y 1 ) to the line ax + by + c = 0 is | ax 1 + by 1 + c | √ a 2 + b 2 ....

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