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Byju's Answer
Standard XII
Mathematics
Linear Combination of Vectors
Write the pro...
Question
Write the projection of the vector
7
i
^
+
j
^
-
4
k
^
on the vector
2
i
^
+
6
j
^
+
3
k
^
.
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Solution
Let
a
→
=
7
i
^
+
j
^
-
4
k
^
;
b
→
=
2
i
^
+
6
j
^
+
3
k
^
The projection of
a
→
on
b
→
is
a
→
.
b
→
b
→
=
7
i
^
+
j
^
-
4
k
^
.
2
i
^
+
6
j
^
+
3
k
^
2
i
^
+
6
j
^
+
3
k
^
=
14
+
6
-
12
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.
The unit vector in the direction of sum of the vectors
→
A
=
2
ˆ
i
+
4
ˆ
j
−
7
ˆ
k
and
→
B
=
4
ˆ
i
−
6
ˆ
j
+
4
ˆ
k
will be
