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Standard XII
Maths
Question
If
¯
a
and
¯
b
are non-collinear unit vectors and
|
¯
a
+
¯
b
|
=
√
3
then
(
2
¯
a
+
5
¯
b
)
⋅
(
3
¯
a
−
¯
b
)
=
?
15
4
15
16
15
2
A
15
4
B
15
2
C
15
D
16
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Solution
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16
Similar Questions
Q1
If
¯
a
and
¯
b
are non-collinear unit vectors and
|
¯
a
+
¯
b
|
=
√
3
then
(
2
¯
a
+
5
¯
b
)
⋅
(
3
¯
a
−
¯
b
)
=
?
View Solution
Q2
If
¯
a
and
¯
b
are non-collinear unit vectors and
∣
∣
¯
a
+
¯
b
∣
∣
=
√
3
then
(
2
¯
a
+
5
¯
b
)
⋅
(
3
¯
a
−
¯
b
)
=
?
View Solution
Q3
If
¯
a
,
¯
b
,
¯
c
are non-coplaner vectors, then prove that the vectors
3
¯
a
+
¯
b
+
¯
c
,
2
¯
a
+
2
¯
b
+
3
¯
c
,
¯
a
+
3
¯
b
+
5
¯
c
are collinear.
View Solution
Q4
¯
a
and
¯
b
are non collinear vectors. If
¯
c
=
(
x
−
2
)
¯
a
+
¯
b
and
¯
d
=
(
2
x
+
1
)
¯
a
−
¯
b
are collinear vectors, then find the value of
x
.
View Solution
Q5
If
¯
a
and
¯
b
are units vectors and
¯
c
satisfies
2
(
¯
a
×
¯
b
)
+
¯
c
=
¯
b
×
¯
c
then the maximum value of
∣
∣
(
¯
a
×
¯
c
)
.
¯
b
∣
∣
is
View Solution