Question

The
from
distance
the Z-
of the
the
axis is a
point pas​

Answer 1

whenever it says distance of point it means perpendicular distance.

you have two methods to solve it.

First- One can easily say that its y and z component will decide what is perpendicular distance, because when we say distance from x-axis of point (p,q,r) we say distance from its foot perpendicular point on x-axis and point

foot of perpendicular will be (p,0,0) and when we apply distance formula

(p−p)2+(q−0)2+(r−0)2−−−−−−−−−−−−−−−−−−−−−−−√2(p−p)2+(q−0)2+(r−0)22

it will q2+r2−−−−−−√2q2+r22

second- if you know vector you can say x axis = 1ii

and position vector of (p,q,r)= pi+qj+rkpi+qj+rk(A say)

and distance will be |ixA|=

we know in vector product iixi=ji=jxj=kj=kxk=0k=0and iixj=kj=k jxk=ijxk=i, iixk=jk=j

|i|ixA|=|oi+rj+qk|=q2+r2−−−−−−√2A|=|oi+rj+qk|=q2+r22

and here you got the answer