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Byju's Answer
Standard X
Mathematics
Summary:Coordinate Geometry
Show that the...
Question
Show that the points
→
a
=
−
3
√
3
^
i
−
3
^
j
,
→
b
=
6
^
j
,
c
=
3
√
3
^
i
+
3
^
j
form the sides of an isosceles triangle.
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Solution
We have
→
a
=
−
3
√
3
ˆ
i
−
3
ˆ
j
→
b
=
6
ˆ
j
→
c
=
3
√
3
ˆ
i
+
3
ˆ
j
Now,
at the place of
→
a
=
−
3
√
3
ˆ
i
−
3
ˆ
j
will be
→
a
=
−
(
3
√
3
ˆ
i
+
3
ˆ
j
)
Then,
A
B
=
B
C
.
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0
Similar questions
Q.
Show that the vectors
→
a
=
3
^
i
−
2
^
j
+
^
k
,
→
b
=
^
i
−
3
^
j
+
5
^
k
a
n
d
→
c
=
2
^
i
+
^
j
−
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k
form a right angled triangle.
Q.
Show that the points A,B,C with position vectors
→
a
=
(
3
^
i
−
4
^
j
−
4
^
k
)
,
→
b
=
(
2
^
i
−
^
j
+
^
k
)
and
→
c
=
(
^
i
−
3
^
j
−
5
^
k
)
respectively,form the vertices of a right-angled triangle.
Q.
If
→
a
=
^
i
−
3
^
j
+
2
^
k
,
→
b
=
3
^
j
+
4
^
k
and
→
c
=
2
^
k
−
3
^
i
, find
(
→
a
×
→
b
)
.
→
c
.
Q.
If
→
a
=
2
^
i
−
3
^
j
+
^
k
and
→
b
=
3
^
i
+
2
^
j
, then find
→
a
×
→
b
Q.
If
→
a
=
3
^
i
+
4
^
j
and
→
b
=
2
^
i
−
3
^
j
then,
(
→
a
+
→
b
)
.
(
→
a
−
→
b
)
is?
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Standard X Mathematics
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