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Byju's Answer
Standard XII
Mathematics
Equal Vectors
27. If r=X(ab...
Question
27. If r=X(ab)+Y(bc)+Z(ca) and [a b c ] = 1/8 , then value of X+Y+Z= r,a,b,c are vectors
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Similar questions
Q.
If
r
>
1
and
x
=
a
+
a
/
r
+
a
/
r
2
+
.
.
.
,
y
=
b
+
b
/
r
+
b
/
r
2
+
.
.
.
and
z
=
c
+
c
/
r
+
c
/
r
2
+
.
.
.
,
then value of
x
y
/
z
2
is
Q.
If
p
,
q
,
r
,
b
,
c
are non zero real numbers such that
p
+
q
+
r
=
16
,
b
+
c
=
4
, then find the value of
x
+
y
+
z
Where
x
,
y
,
z
satisfy the system of equations:
x
p
+
y
p
−
b
+
z
p
−
c
=
1
x
q
+
y
q
−
b
+
z
q
−
c
=
1
x
r
+
y
r
−
b
+
z
r
−
c
=
1
Q.
If
x
=
a
+
a
r
+
a
r
2
+
⋯
∞
,
y
=
b
−
b
r
+
b
r
2
−
⋯
∞
and
z
=
c
+
c
r
2
+
c
r
4
+
⋯
∞
for
|
r
|
>
1
,
then the value of
x
y
z
is
Q.
If
r
>
1
and
x
=
a
+
a
r
+
a
r
2
y
=
b
+
b
r
+
b
r
2
z
=
c
+
c
r
+
c
r
2
,
then the value of
x
y
z
2
is ___.
Q.
If
a
,
b
,
c
>
0
and
x
,
y
,
z
∈
R, then the value of the determinant
∣
∣ ∣ ∣
∣
(
a
x
+
a
−
x
)
2
(
a
x
−
a
−
x
)
2
1
(
b
y
+
b
−
y
)
2
(
b
y
−
b
−
y
)
2
1
(
c
z
+
c
−
z
)
2
(
c
z
−
c
−
z
)
2
1
∣
∣ ∣ ∣
∣
is ................
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