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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
If a⃗=2î+3ĵ...
Question
If
→
a
=
2
^
i
+
3
^
j
−
4
^
k
,
→
b
=
^
i
+
^
j
+
^
k
,
→
c
=
4
^
j
+
3
^
k
then
|
(
¯
¯
¯
a
×
¯
¯
b
)
×
¯
¯
c
|
A
10
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B
1
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C
2
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D
√
1421
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Solution
The correct option is
D
√
1421
(
¯
a
×
¯
b
)
×
¯
c
=
(
¯
a
⋅
¯
c
)
¯
b
−
(
¯
b
⋅
¯
c
)
¯
a
, vector triple product
=
0
−
7
¯
a
,
→
a
⋅
→
c
=
3
(
4
)
−
4
(
3
)
=
0
∴
|
(
¯
a
×
¯
b
)
×
¯
c
|
=
7
|
→
a
|
=
7
√
2
2
+
3
2
+
(
−
4
)
2
=
7
√
29
=
√
1421
Suggest Corrections
0
Similar questions
Q.
I: If
→
a
=
3
^
i
−
2
^
j
+
^
k
,
→
b
=
2
^
i
−
4
^
j
−
3
^
k
,
→
c
=
−
^
i
+
2
^
j
+
2
^
k
then
→
a
+
→
b
+
→
c
=
4
^
i
−
4
^
j
II: If
→
a
=
^
i
−
^
j
+
2
^
k
,
→
b
=
2
^
i
+
3
^
j
+
^
k
,
→
c
=
^
i
−
^
k
, then magnitude of
→
a
+
2
→
b
−
3
→
c
is
√
78
Q.
If
→
a
=
2
^
i
+
^
j
−
3
^
k
,
→
b
=
^
i
−
2
^
j
+
^
k
,
→
c
=
−
^
i
+
^
j
−
4
^
k
and
→
d
=
^
i
+
^
j
+
^
k
, then
|
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
|
Q.
If
→
a
=
^
i
+
2
^
j
+
4
^
k
,
→
b
=
2
^
i
−
3
^
j
+
^
k
,
→
c
=
^
i
+
4
^
j
−
4
^
k
then the vector
→
a
×
(
→
b
×
→
c
)
is orthogonal to
Q.
Find the altitude of a parallelopiped determined by
→
a
,
→
b
,
→
c
if yhe base
→
a
,
&
→
b
and if
→
a
=
^
i
+
^
j
+
^
k
;
→
b
=
2
^
i
+
4
^
j
−
^
k
&
→
c
=
^
i
+
^
j
+
3
^
k
.
Q.
If
→
a
=
^
i
−
2
^
j
−
3
^
k
,
→
b
=
2
^
i
+
^
j
−
^
k
,
→
c
=
^
i
+
3
^
j
−
2
^
k
, and
→
a
×
(
→
b
×
→
c
)
=
p
^
i
+
q
^
j
+
r
^
k
, then
p
+
q
+
r
=
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