Let P(3, 2, −5) and Q(4, 0, −3) be two points in three-dimensional space. (a) Find the distance between P and Q . (b) Find an equation for the sphere whose center is P and for which the segment PQ is...

P(3, 2, −5)

Q(4, 0, −3)

(a) Find the distance betweenP andQ.





(b) Find an equation for the sphere whose center isP and for which the segment

is a radius of the sphere. (Let

andz denote the standard coordinate variables.)





(c) The vectoru has initial pointP and terminal pointQ. Expressu both in component form and using the vectorsi,j, andk.

component form
i,j, andk form