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Byju's Answer
Standard XII
Physics
Unit Vectors
Determine the...
Question
Determine the vector which when added to the resultant
→
A
=
2
^
i
−
4
^
j
−
6
^
k
and
→
B
=
4
^
i
+
3
^
j
+
3
^
k
gives the unit vector along z-axis.
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Solution
let the vector be the
→
C
according the question
→
C
+(
→
A
+
→
B
)=
^
k
→
C
+(2
^
i
-4
^
j
-6
^
k
+4
^
i
+3
^
j
+3
^
k
)=
^
k
→
C
= -6
^
i
+
^
j
+4
^
k
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Similar questions
Q.
If
→
A
=
2
^
i
−
2
^
j
−
^
k
and
→
B
=
^
i
+
^
j
, then
(i) find the angle between
→
A
and
→
B
(ii) find the projection of resultant vector of
→
A
and
→
B
on x-axis.
(iii) find a vector which is, if added to
→
A
, gives a unit vector along y-axis.
Q.
→
A
=
2
^
i
+
3
^
j
+
^
k
and
→
=
4
^
i
+
3
^
j
. Magnitude of the component of vector
→
A
along vector
→
B
is
.
Q.
A unit vector perpendicular to the plane of
a
=
2
^
i
−
6
^
j
−
3
^
k
,
b
=
4
^
i
+
3
^
j
−
^
k
is
Q.
Unit vector parallel to the resultant of vectors
→
A
=
4
^
i
−
3
^
j
and
→
B
=
8
^
i
+
8
^
j
Q.
Find a unit vector perpendicular to the vectors
→
A
=
4
^
i
−
^
j
+
3
^
k
and
→
B
=
−
2
^
i
+
^
j
−
2
^
k
.
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