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>