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can someone explain how to get the answer for letter a) because I just don\'t it

ID: 2894780 • Letter: C

Question

can someone explain how to get the answer for letter a) because I just don't it?

Distance between a point and a line Carry out the following steps to determine the (least) distance between the point P and the line l through the origin. a. Find any vector v in the direction of l. b. Find the position vector u corresponding to P. c. Find proj_v u. d. Show that w = u - proj_v u is a vector orthogonal to v whose length is the distance between P and the line l. e. Find w and |w|. Explain why |w| is the least distance between P and l.

Explanation / Answer

dear its very very simple. they have given the line y = 3x. and you have to find the vector in direction of line

take x =1 you will get y = 3.

so vector is v = i+3j

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