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Mathematics
Mathematics
Problem
A vector
v
⃗
=
3
i
+
4
j
\vec{v} = 3\mathbf{i} + 4\mathbf{j}
v
=
3
i
+
4
j
represents the direction of a family of parallel chords in the ellipse
x
2
25
+
y
2
16
=
1
\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1
25
x
2
+
16
y
2
=
1
. Find a vector
u
⃗
\vec{u}
u
that is
∥
\parallel
∥
the diameter bisecting these chords.
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