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Mathematics
Mathematics
Problem
Let
u
,
v
,
w
\mathbf{u}, \mathbf{v}, \mathbf{w}
u
,
v
,
w
be such that
∣
u
∣
=
1
,
∣
v
∣
=
2
,
∣
w
∣
=
3
|\mathbf{u}| = 1, |\mathbf{v}| = 2, |\mathbf{w}| = 3
∣
u
∣
=
1
,
∣
v
∣
=
2
,
∣
w
∣
=
3
. If the projection
v
\mathbf{v}
v
along
u
\mathbf{u}
u
is equal to that of
w
\mathbf{w}
w
along
u
\mathbf{u}
u
and
v
,
w
\mathbf{v}, \mathbf{w}
v
,
w
are perpendicular to each other, then
∣
u
−
v
+
w
∣
|\mathbf{u} - \mathbf{v} + \mathbf{w}|
∣
u
−
v
+
w
∣
equal to a. 2 b.
7
\sqrt{7}
7
c.
14
\sqrt{14}
14
d. 14
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