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Byju's Answer
Standard XII
Mathematics
Addition of Vectors
write the num...
Question
write the number of vectors of unit length perpendicular to both the vectors
→
a
=
2
^
i
+
^
j
+
2
^
k
and
→
b
=
^
j
+
^
k
.
Open in App
Solution
→
a
=
2
^
i
+
^
j
+
2
^
k
→
b
=
^
j
+
^
k
→
a
×
→
b
=
∣
∣ ∣ ∣
∣
^
i
^
j
^
k
2
1
2
0
1
1
∣
∣ ∣ ∣
∣
=
^
i
(
1
−
2
)
−
^
j
(
2
−
0
)
+
^
k
(
2
−
0
)
=
−
^
i
−
2
^
j
+
2
^
k
√
2
2
+
2
2
+
1
=
−
^
i
−
2
^
j
+
2
^
k
√
9
=
−
^
i
−
2
^
j
+
2
^
k
3
−
(
→
a
×
→
b
)
=
−
(
^
i
−
2
^
j
+
2
^
k
)
3
=
^
i
+
2
^
j
−
2
^
k
3
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0
Similar questions
Q.
The number of vectors of unit length perpendicular to the vectors
→
a
=
^
i
+
^
j
and
→
b
=
^
j
+
^
k
, is
Q.
For given vectors,
→
a
=
2
^
i
−
^
j
+
2
^
k
and
→
b
=
−
^
i
+
^
j
−
^
k
, find the unit vector in the direction of the vector
→
a
+
→
b
Q.
If two vectors are
→
A
=
2
^
i
+
^
j
−
^
k
and
→
B
=
^
j
−
4
^
k
.
→
A
×
→
B
is perpendicular to
Q.
Find a unit vector perpendicular to the vectors
→
A
=
4
^
i
−
^
j
+
3
^
k
and
→
B
=
−
2
^
i
+
^
j
−
2
^
k
.
Q.
A
: Vector perpendicular to both
^
i
+
^
j
+
^
k
and
2
^
i
+
^
j
+
3
^
k
is
2
^
i
−
^
j
−
^
k
R
: Every vector perpendicular to plane containing
→
a
,
→
b
is equal to
→
a
×
→
b
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