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Byju's Answer
Standard IX
Mathematics
Any Point Equidistant from the End Points of a Segment Lies on the Perpendicular Bisector of the Segment
If a⃗, b⃗, ...
Question
If
→
a
,
→
b
,
→
c
are
P
.
V
.
of the vertices
A
,
B
,
C
respectively of
△
A
B
C
then find the vector equation of the median through the vertex
A
.
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Solution
Taking
λ
=
λ
′
2
.
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Similar questions
Q.
If
a
,
b
,
c
are the position vectors of the vertices
A
.
B
,
C
respectively of
Δ
A
B
C
then find the vector equation of the median through the vertex
A
Q.
If
→
a
,
→
b
,
→
c
are positive vectors of vertices
A
,
B
,
C
of
Δ
A
B
C
. If
→
r
is position vector of a point
P
such that
(
|
→
b
−
→
c
|
+
|
→
c
−
→
a
|
+
|
→
a
−
→
b
|
)
→
r
=
|
→
b
−
→
c
|
→
a
+
|
→
c
−
→
a
|
→
b
+
∣
∣
→
a
−
→
b
∣
∣
→
c
then the point
P
always
Q.
Let
→
a
,
→
b
,
→
c
be three vectors in the
x
y
z
space such that
→
a
×
→
b
=
→
b
×
→
c
=
→
c
×
→
a
≠
→
0
.
If
A
,
B
,
C
are points with position vectors
→
a
,
→
b
,
→
c
respectively, then the number of possible positions of the centroid of triangle
A
B
C
is.
Q.
If
→
a
×
→
b
=
→
c
,
→
b
×
→
c
=
→
a
and a,b,c be the moduli of the vectors
→
a
,
→
b
,
→
c
respectively, then
Q.
If
→
a
,
→
b
,
→
c
are the vertices of the triangle
A
B
C
then
→
a
×
→
b
+
→
b
×
→
c
+
→
c
×
→
a
=
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Any Point Equidistant from the End Points of a Segment Lies on the Perpendicular Bisector of the Segment
Standard IX Mathematics
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