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Byju's Answer
Standard XII
Physics
Vector Component
If a=2i+2j+...
Question
If
¯
¯
¯
a
=
2
¯
i
+
2
¯
j
+
¯
¯
¯
k
,
¯
¯
b
=
5
¯
i
+
¯
j
+
2
¯
¯
¯
k
, then
(
¯
¯
¯
a
×
¯
¯
b
)
2
+
(
¯
¯
¯
a
.
¯
¯
b
)
2
=
A
270
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B
120
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C
170
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D
110
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Solution
The correct option is
A
270
Magnitude of Vectors
|
→
a
|
=
3
|
→
b
|
=
√
3
(
→
a
×
→
b
)
2
+
(
→
a
.
→
b
)
=
(
a
b
)
2
=
9
×
30
=
270
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1
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Q.
Find
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(iii)
a
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2
i
^
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^
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^
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Q.
Find
a
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b
→
when
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a
→
=
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^
-
2
j
^
+
k
^
and
b
→
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4
i
^
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4
j
^
+
7
k
^
(ii)
a
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j
^
+
2
k
^
and
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→
=
2
i
^
+
k
^
(iii)
a
→
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j
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^
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b
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i
^
+
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j
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k
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Q.
For what value of λ are the vectors
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a
→
=
λ
i
^
+
2
j
^
+
k
^
and
b
→
=
4
i
^
-
9
j
^
+
2
k
^
(ii)
a
→
=
λ
i
^
+
2
j
^
+
k
^
and
b
→
=
5
i
^
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9
j
^
+
2
k
^
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→
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^
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^
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4
k
^
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i
^
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j
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^
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^
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j
^
+
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k
^
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→
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^
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^
Q.
Find the volume of the parallelopiped whose coterminous edges are represented by the vectors:
(i)
a
→
=
2
i
^
+
3
j
^
+
4
k
^
,
b
→
=
i
^
+
2
j
^
-
k
^
,
c
→
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3
i
^
-
j
^
+
2
k
^
(ii)
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→
=
2
i
^
-
3
j
^
+
4
k
^
,
b
→
=
i
^
+
2
j
^
-
k
^
,
c
→
=
3
i
^
-
j
^
-
2
k
^
(iii)
a
→
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i
^
,
b
→
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a
→
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i
^
+
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^
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→
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^
-
j
^
+
k
^
,
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→
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^
+
2
j
^
-
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