Use a scalar projection to show that the distance from a point P 1 ( x 1 , y 1 ) to the line a x + b y + c = 0 is | a x 1 + b y 1 + c | a 2 + b 2 Use this formula to find the distance from the point ( − 2 , 3 ) to the line to the line 3 x − 4 y + 5 = 0.
Use a scalar projection to show that the distance from a point P 1 ( x 1 , y 1 ) to the line a x + b y + c = 0 is | a x 1 + b y 1 + c | a 2 + b 2 Use this formula to find the distance from the point ( − 2 , 3 ) to the line to the line 3 x − 4 y + 5 = 0.
Solution Summary: The author explains the formula for the scalar projection of vectors.
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