# Find a nonzero vector u with initial point P(-1.3.-5) such that

dola
Find a nonzero vector u with initial point P(-1.3.-5) such that
(a) u has the same direction as v = (6,7,-3)
(b) u is oppositely directed to v = (6,7,-3)

Homework Helper
Welcome to PF!

Hi dola! Welcome to PF! Show us what you've tried, and where you're stuck, and then we'll know how to help!

Try (a) first. dola

Find a nonzero vector u with initial point P(-1.3.-5) such that
(a) u has the same direction as v = (6,7,-3)
(b) u is oppositely directed to v = (6,7,-3)

---->
Let, the terminal point of u is Q(x,y,z)
Thus u = vector PQ = (x+1, y-3, z+5)

(a) u will have the same direction as v
so, (x+1, y-3, z+5) = (6,7,-3)

x = 5, y = 10, z = -8

Thus one possible ans might be Q(5,10,-8)

(b) u will have the opposite direction as v
so, (x+1, y-3, z+5) = (-6,-7,3)

x = -7, y = -4, z = -2

Thus one possible ans might be Q(-7, -4, -2)

I am not sure whether the procedure is correct. Waiting for explanation

Yup, that's fine … both method and result! 