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Byju's Answer
Standard X
Mathematics
Distance Formula
If the vector...
Question
If the vectors 6i - 2j +3k , 2i +3j -6k and 3i + 6j -2k form a triangle, then it is.
right angled obtuse angled equilateral isoceles
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Solution
sin
c
e
t
h
e
i
r
a
r
e
t
h
r
e
e
v
e
c
t
o
r
s
V
1
=
6
i
-
2
j
+
3
k
m
a
g
n
i
t
u
d
e
o
f
V
1
=
36
+
4
+
9
V
1
=
7
u
n
i
t
s
i
m
i
l
i
a
r
l
y
V
2
=
2
i
+
3
j
-
6
K
V
2
=
36
+
9
+
4
=
7
a
l
s
o
V
3
=
3
i
+
6
j
-
2
k
V
3
=
7
sin
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Similar questions
Q.
If the vectors 6i - 2j +3k , 2i +3j -6k and 3i + 6j -2k form a triangle, then it is
Q.
Given that
¯
¯
¯
a
=
2
¯
i
+
3
¯
j
+
6
¯
¯
¯
k
,
¯
¯
¯
b
=
3
¯
i
−
6
¯
j
+
2
¯
¯
¯
k
,
¯
¯
¯
c
=
6
¯
i
+
2
¯
j
−
3
¯
¯
¯
k
, then
¯
¯
¯
a
×
¯
¯
¯
b
=
Q.
Is the triangle formed by the vectors
3
i
+
5
j
+
2
k
,
2
i
−
3
j
−
5
k
a
n
d
−
5
i
−
2
j
+
3
k
equilateral?
Q.
If the position vectors of the vertices of a triangle are
i
+
2
j
+
3
k
,
2
i
+
3
j
+
k
, and
3
i
+
j
+
2
k
, show that the triangle is an equilateral traingle.
Q.
The vectors
2
¯
i
−
3
¯
j
+
4
¯
¯
¯
k
,
¯
i
−
2
¯
j
+
3
¯
¯
¯
k
and
3
¯
i
+
¯
j
−
2
¯
¯
¯
k
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