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Byju's Answer
Standard XII
Physics
Scalar and Vector Notation
The resultant...
Question
The resultant of forces
→
F
1
=
3
→
i
−
4
→
j
+
2
→
k
,
→
F
2
=
2
→
i
+
3
→
j
−
→
k
,
→
F
3
=
2
→
i
+
4
→
j
−
5
→
k
is:
A
7
→
i
−
11
→
j
−
8
→
k
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B
7
→
i
+
3
→
j
−
6
→
k
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C
7
→
i
+
3
→
j
−
4
→
k
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D
7
→
i
−
3
→
j
+
4
→
k
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Solution
The correct option is
C
7
→
i
+
3
→
j
−
4
→
k
→
F
=
−
→
F
1
+
−
→
F
2
+
−
→
F
3
=
7
→
i
+
3
→
j
−
4
→
k
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Similar questions
Q.
Show that the vectors
2
→
i
−
→
j
+
→
k
,
→
i
−
3
→
j
−
5
→
k
and
−
3
→
i
+
4
→
j
+
4
→
k
are the sides of a right angled triangle.
Q.
Find the point at which
→
r
=
(
→
i
+
2
→
j
−
5
→
k
)
+
t
(
2
→
i
−
3
→
j
+
4
→
k
)
meets the plane
→
r
⋅
(
2
→
i
+
4
→
j
−
→
k
)
=
3
Q.
If the position vectors of
A
,
B
and
C
are respectively
2
→
i
−
→
j
+
→
k
,
→
i
−
3
→
j
−
5
→
k
and
3
→
i
−
4
→
j
−
4
→
k
, then
cos
2
A
is equal to
Q.
Find the vector and Cartesian equations of the plane passing through the points with position vectors
3
→
i
+
4
→
j
+
2
→
k
,
2
→
i
−
2
→
j
−
→
k
, and
7
→
i
+
→
j
+
→
k
Q.
The vectors
2
→
i
+
3
→
j
+
4
→
k
,
3
→
i
+
2
→
j
−
3
→
k
, and
5
→
i
+
5
→
j
+
→
k
form:
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