please explain or no credit, and please wrie exact answers, no decimals!!!! (rad

Question

please explain or no credit, and please wrie exact answers, no decimals!!!! (radicals are used)

Carry out the following steps to determine the distance between the point P and the line L through the origin with direction Find a vector v = (l,b) in the direction of line L. Find the position vector u corresponding to point P. Find projvu. Find w = u - projvu and |w|. Explain why |w| is the distance between P and L. P(5,-4); Lis y= -2x (Type integers or simplified fractions.) (Type integers or simplified fractions.) (Type integers or simplified fractions.) (Type an exact answer, using radicals as needed.)

Explanation / Answer

a. 1,-2

b. 5,-4

c. proju = uvcos/modv
= u.v/modv
= 5+6/5
= 11/5,0

d. u - proju
= <(5-11/5),(-4-11/5)>
= <55-11/5 , -45-11/5>

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