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Byju's Answer
Standard XII
Mathematics
Definition of Vector
Find a(vector...
Question
Find a(vector) . b(vector) and a(vector)*b(vector) if a= i+2j+k and magnitude of b=3 acting along c(vector) = i+j+k.
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Similar questions
Q.
Find dot product of a vector and b vector if a vector
=
^
i
+
2
^
j
+
^
k
and
magnitude of b vector =3 acting along c vector
=
^
i
+
^
j
+
^
k
Q.
Find
a
→
b
→
c
→
, when
(i)
a
→
=
2
i
^
-
3
j
^
,
b
→
=
i
^
+
j
^
-
k
^
and
c
→
=
3
i
^
-
k
^
(ii)
a
→
=
i
^
-
2
j
^
+
3
k
^
,
b
→
=
2
i
^
+
j
^
-
k
^
and
c
→
=
j
^
+
k
^
(iii)
a
→
=
2
i
^
+
3
j
^
+
k
^
,
b
→
=
i
^
-
2
j
^
+
k
^
and
c
→
=
-
3
i
^
+
j
^
+
2
k
^
Q.
If
a
→
=
i
^
+
j
^
+
k
^
,
b
→
=
2
i
^
-
j
^
+
3
k
^
and
c
→
=
i
^
-
2
j
^
+
k
^
,
find a unit vector parallel to
2
a
→
-
b
→
+
3
c
.
→
Q.
Find a vector of magnitude
4
unite perpendicular to each of vectors
→
a
+
→
b
and
→
a
−
→
b
,where
→
a
=
→
i
+
→
j
+
→
k
and
→
b
=
→
i
+
→
2
j
+
3
→
k
Q.
If
a
→
=
i
^
+
j
^
-
k
^
,
b
→
=
-
i
^
+
2
j
^
+
2
k
^
and
c
→
=
-
i
^
+
2
j
^
-
k
^
,
then a unit vector normal to the vectors
a
→
+
b
→
and
b
→
-
c
→
is
(a)
i
^
(b)
j
^
(c)
k
^
(d) none of these
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