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Byju's Answer
Standard XII
Mathematics
Consistency of Linear System of Equations
Given that ...
Question
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
=
A
7
¯
¯
c
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B
¯
¯
c
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C
5
¯
¯
c
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D
4
¯
¯
c
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Solution
The correct option is
B
7
¯
¯
c
→
a
×
→
b
=
∣
∣ ∣ ∣
∣
^
i
^
j
^
k
2
3
6
3
−
6
2
∣
∣ ∣ ∣
∣
=
42
^
i
+
14
^
j
−
21
^
k
=
7
(
6
^
i
+
2
^
j
−
3
^
k
)
=
7
→
c
Suggest Corrections
2
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