are A=i+2j+2k and B=2i-2j+k parallel vectors ?
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Answer:
The vector
A
is given as
A
=
i
^
+2
j
^
+2
k
^
Its magnitude ∣A∣=
1
2
+2
2
+2
2
=3
Unit vector along direction of
A
,
A
^
=
∣A∣
A
=
3
i
^
+2
j
^
+2
k
^
Magnitude of
B
, ∣B∣=
3
2
+6
2
+2
2
=7
Thus vector
C
is
C
=∣B∣
A
^
⟹
C
=
3
7
(
i
^
+2
j
^
+2
k
^
)
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