find the angle between force F=(3^i+4^j+5^k)unit and displacement d=(5^i+4^j+3^k)unit.
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F
.
d
=Fdcosθ
⟹cosθ=
Fd
F
.
d
=
50
15+16+15
=
50
46
⟹θ=cos
−1
0.92
Projection of
F
on
d
is given by
d
F
.
d
=
5
2
+4
2
+3
2
15+16+15
=
5
2
46
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