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Byju's Answer
Standard XII
Mathematics
Equal Vectors
If the vector...
Question
If the vector b = 3j + 4k is written as the sum of a vector b_1 parallel to a = i + j and a vector b_2 perpendicular to a , thenb_{1 }× b_2 is equal to:
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Similar questions
Q.
The vector
b
=
3
j
+
4
k
is to be written as the sum of a vector
b
1
parallel to
a
=
i
+
j
and a vector
b
2
perpendicular to
a
. Then
b
1
is equal to
Q.
The vector
b
→
=
3
i
^
+
4
k
^
is to be written as the sum of a vector
α
→
parallel to
a
→
=
i
^
+
j
^
and a vector
β
→
perpendicular to
a
→
. Then
α
→
=
(a)
3
2
i
^
+
j
^
(b)
2
3
i
^
+
j
^
(c)
1
2
i
^
+
j
^
(d)
1
3
i
^
+
j
^
Q.
If the vector
→
b
=
3
^
j
+
4
^
k
is written as the sum of a vector
→
b
1
, parallel to
→
a
=
^
i
+
^
j
and a vector
→
b
2
, perpendicular to
→
a
, then
→
b
1
×
→
b
2
is equal to.
Q.
(i) Find a vector of magnitude 49, which is perpendicular to both the vectors
2
i
^
+
3
j
^
+
6
k
^
and
3
i
^
-
6
j
^
+
2
k
^
.
(ii) Find a vector whose length is 3 and which is perpendicular to the vector
a
→
=
3
i
^
+
j
^
-
4
k
^
and
b
→
=
6
i
^
+
5
j
^
-
2
k
^
.
Q.
Decompose the vector
6
i
^
-
3
j
^
-
6
k
^
into vectors which are parallel and perpendicular to the vector
i
^
+
j
^
+
k
^
.
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