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C4 vectors and differential equations
any help would be much appreciated + good rep will be given-thanks 
1. coordinates of point P (-1,2,-3) and Q (-5,2,3)
if O is the origin (0,0,0) show that OP is perpendicular to OQ
2. a mould in the form of a right circular cone is being reformed so that its volume remains constant at Vcm³, while its radius rcm and height hcm are varying
dr/dh = - Пr³/ 6V
V=1/3Пr²h
Find the value of r when h=4 to 1dp
thanks again
1. coordinates of point P (-1,2,-3) and Q (-5,2,3)
if O is the origin (0,0,0) show that OP is perpendicular to OQ
2. a mould in the form of a right circular cone is being reformed so that its volume remains constant at Vcm³, while its radius rcm and height hcm are varying
dr/dh = - Пr³/ 6V
V=1/3Пr²h
Find the value of r when h=4 to 1dp
thanks again
For 1. OP.OQ=xx'+yy'+zz'=-1*-5+2*2+-3*3=0 Thus OP is perpendicular to OQ
OP.OQ = (-1)(-5) + 2.2 + (-3)(3)
= 5+4-9
=0
Therefore perpendicular.
= 5+4-9
=0
Therefore perpendicular.
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