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Byju's Answer
Standard VIII
Mathematics
Polynomials
Write the pro...
Question
Write the projection of
b
→
+
c
→
on
a
→
when
a
→
=
2
i
^
-
2
j
^
+
k
^
,
b
→
=
i
^
+
2
j
^
-
2
k
^
and
c
→
=
2
i
^
-
j
^
+
4
k
^
.
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Solution
Given that
a
→
=
2
i
^
-
2
j
^
+
k
^
b
→
=
i
^
+
2
j
^
-
2
k
^
c
→
=
2
i
^
-
j
^
+
4
k
^
b
→
+
c
→
=
i
^
+
2
j
^
-
2
k
^
+
2
i
^
-
j
^
+
4
k
^
=
3
i
^
+
j
^
+
2
k
^
Projection of
b
→
+
c
→
on
a
→
is
b
→
+
c
→
.
a
→
a
→
=
3
i
^
+
j
^
+
2
k
^
.
2
i
^
-
2
j
^
+
k
^
2
i
^
-
2
j
^
+
k
^
=
6
-
2
+
2
4
+
4
+
1
=
6
3
=
2
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0
Similar questions
Q.
Find the projection of
b
→
+
c
→
on
a
→
, where
a
→
=
2
i
^
-
2
j
^
+
k
^
,
b
→
=
i
^
+
2
j
^
-
2
k
^
and
c
→
=
2
i
^
-
j
^
+
4
k
^
.
Q.
Find the volume of the parallelopiped whose coterminous edges are represented by the vectors:
(i)
a
→
=
2
i
^
+
3
j
^
+
4
k
^
,
b
→
=
i
^
+
2
j
^
-
k
^
,
c
→
=
3
i
^
-
j
^
+
2
k
^
(ii)
a
→
=
2
i
^
-
3
j
^
+
4
k
^
,
b
→
=
i
^
+
2
j
^
-
k
^
,
c
→
=
3
i
^
-
j
^
-
2
k
^
(iii)
a
→
=
11
i
^
,
b
→
=
2
j
^
,
c
→
=
13
k
^
(iv)
a
→
=
i
^
+
j
^
+
k
^
,
b
→
=
i
^
-
j
^
+
k
^
,
c
→
=
i
^
+
2
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
−
2
¯
j
+
3
¯
¯
¯
k
,
¯
¯
b
=
2
¯
i
+
¯
j
+
¯
¯
¯
k
,
¯
¯
c
=
¯
i
+
¯
j
+
2
¯
¯
¯
k
then find
∣
∣
∣
(
→
a
×
→
b
)
×
¯
¯
c
∣
∣
∣
and
∣
∣
∣
¯
¯
¯
a
×
(
→
b
×
→
c
)
∣
∣
∣
.
Q.
Find the value of λ so that the following vectors are coplanar:
(i)
a
→
=
i
^
-
j
^
+
k
^
,
b
→
=
2
i
^
+
j
^
-
k
^
,
c
→
=
λ
i
^
-
j
^
+
λ
k
^
(ii)
a
→
=
2
i
^
-
j
^
+
k
^
,
b
→
=
i
^
+
2
j
^
-
3
k
^
,
c
→
=
λ
i
^
+
λ
j
^
+
5
k
^
(iii)
a
→
=
i
^
+
2
j
^
-
3
k
^
,
b
→
=
3
i
^
+
λ
j
^
+
k
^
,
c
→
=
i
^
+
2
j
^
+
2
k
^
(iv)
a
→
=
i
^
+
3
j
^
,
b
→
=
5
k
^
,
c
→
=
λ
i
^
-
j
^
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