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Mathematics
Problem
Two forces
F
1
=
8
i
^
+
k
j
^
N
\mathbf{F}_1=8\,\hat i+k\,\hat j\,\text{N}
F
1
=
8
i
^
+
k
j
^
N
and
F
2
=
−
5
i
^
+
6
j
^
N
\mathbf{F}_2=-5\,\hat i+6\,\hat j\,\text{N}
F
2
=
−
5
i
^
+
6
j
^
N
act simultaneously on a particle. If the resultant is perpendicular to
F
2
\mathbf{F}_2
F
2
, the value of
k
k
k
is a)
6.67
6.67
6.67
b)
3.5
3.5
3.5
c)
−
3.5
-3.5
−
3.5
d)
2.5
2.5
2.5
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