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Byju's Answer
Standard VII
Mathematics
Addition of Algebraic Expressions
Component of ...
Question
Component of 3i+4j perpendicular to i+j and in the same plane as that of 3i+4j is 1)1/2(j-i) 2(j-i) 3)2(j-i)
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Similar questions
Q.
Show that the points whose position vectors are as given below are collinear:
(i)
2
i
^
+
j
^
-
k
^
,
3
i
^
-
2
j
^
+
k
^
and
i
^
+
4
j
^
-
3
k
^
(ii)
3
i
^
-
2
j
^
+
4
k
^
,
i
^
+
j
^
+
k
^
and
-
i
^
+
4
j
^
-
2
k
^
Q.
The three points whose position vectors are
¯
i
+
2
¯
j
+
3
¯
¯¯
¯
k
,
3
¯
i
+
4
¯
j
+
7
¯
¯¯
¯
k
,
and
−
3
¯
i
−
2
¯
j
−
5
¯
¯
¯
k
Q.
Prove that the points having position vectors
i
^
+
2
j
^
+
3
k
^
,
3
i
^
+
4
j
^
+
7
k
^
,
-
3
i
^
-
2
i
^
-
5
k
^
are collinear.
Q.
Prove that the following vectors are coplanar:
(i)
2
i
^
-
j
^
+
k
^
,
i
^
-
3
j
^
-
5
k
^
and
3
i
^
-
4
j
^
-
4
k
^
(ii)
i
^
+
j
^
+
k
^
,
2
i
^
+
3
j
^
-
k
^
and
-
i
^
-
2
j
^
+
2
k
^
Q.
Consider the following 3 lines in space
L
1
:
→
r
=
∧
3
i
−
∧
j
+
2
∧
k
+
λ
(
2
∧
i
+
4
∧
j
−
∧
k
)
L
2
:
→
r
=
∧
i
−
∧
j
+
3
∧
k
+
μ
(
4
∧
i
+
2
∧
j
+
4
∧
k
)
L
3
:
→
r
=
∧
3
i
+
∧
2
j
−
2
∧
k
+
t
(
2
∧
i
+
∧
j
+
∧
2
k
)
Then which one of the following pair(s) are in the same plane.
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