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Byju's Answer
Standard XII
Mathematics
Definite Integral as Limit of Sum
Find the proj...
Question
Find the projection of
a
→
on
b
→
if
a
→
·
b
→
=
8
and
b
→
=
2
i
^
+
6
j
^
+
3
k
^
.
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Solution
We have
a
→
.
b
→
=
8
and
b
→
=
2
i
^
+
6
j
^
+
3
k
^
The projection of
a
→
on
b
→
is
a
→
.
b
→
b
→
=
8
4
+
36
+
9
=
8
7
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Similar questions
Q.
Find λ when the projection of
a
→
=
λ
i
^
+
j
^
+
4
k
^
on
b
→
=
2
i
^
+
6
j
^
+
3
k
^
is 4 units.
Q.
Find the cross products of the vectors
1.
a
=
i
−
2
j
+
3
k
,
b
=
3
i
−
6
j
+
9
k
2.
a
=
−
2
i
−
4
k
,
b
=
i
−
2
j
−
k
,
c
=
i
−
4
j
+
3
k
Q.
Given that
¯
¯
¯
a
=
2
¯
i
+
3
¯
j
+
6
¯
¯
¯
k
,
¯
¯
¯
b
=
3
¯
i
−
6
¯
j
+
2
¯
¯
¯
k
,
¯
¯
¯
c
=
6
¯
i
+
2
¯
j
−
3
¯
¯
¯
k
, then
¯
¯
¯
a
×
¯
¯
¯
b
=
Q.
Write the projection of the vector
7
i
^
+
j
^
-
4
k
^
on the vector
2
i
^
+
6
j
^
+
3
k
^
.
Q.
Show the each of the following triads of vectors are coplanar:
(i)
a
→
=
i
^
+
2
j
^
-
k
^
,
b
→
=
3
i
^
+
2
j
^
+
7
k
^
,
c
→
=
5
i
^
+
6
j
^
+
5
k
^
(ii)
a
→
=
-
4
i
^
-
6
j
^
-
2
k
^
,
b
→
=
-
i
^
+
4
j
^
+
3
k
^
,
c
→
=
-
8
i
^
-
j
^
+
3
k
^
(iii)
a
^
=
i
^
-
2
j
^
+
3
k
^
,
b
^
=
-
2
i
^
+
3
j
^
-
4
k
^
,
c
^
=
i
^
-
3
j
^
+
5
k
^
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