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Mathematics
Mathematics
Problem
Let
P
M
PM
P
M
be the perpendicular from the point
P
(
1
,
2
,
3
)
P(1, 2, 3)
P
(
1
,
2
,
3
)
to
X
Y
XY
X
Y
-plane. If
O
P
OP
O
P
makes an angle
θ
\theta
θ
with the positive direction of the
Z
Z
Z
-axis and
O
M
OM
O
M
makes an angle
ϕ
\phi
ϕ
with the positive direction of
X
X
X
-axis, where
O
O
O
is the origin, then find
θ
\theta
θ
and
ϕ
\phi
ϕ
.
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