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Tardigrade
Question
Physics
Two vectors are given by vecA = ( hati + 2j + hatk) and vecB = (3 hati + 6 hatj + 2 hatk). Another vector vecC has the same magnitude as vecB but has the same direction as vecA. Then which of the following vectors represents vecC ?
Q. Two vectors are given by
A
=
(
i
^
+
2
j
+
k
^
)
and
B
=
(
3
i
^
+
6
j
^
+
2
k
^
)
. Another vector
C
has the same magnitude as
B
but has the same direction as
A
. Then which of the following vectors represents
C
?
1837
265
WBJEE
WBJEE 2013
Motion in a Plane
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A
3
7
(
i
^
+
2
j
^
+
2
k
^
)
59%
B
7
3
(
i
^
−
2
j
^
+
2
k
^
)
16%
C
9
7
(
i
^
−
2
j
^
+
2
k
^
)
15%
D
7
9
(
i
^
+
2
j
^
+
2
k
^
)
10%
Solution:
Given,
A
=
i
^
+
2
j
^
+
2
k
^
and
B
=
3
i
^
+
6
j
^
+
2
k
^
So,
C
=
1
+
4
+
4
i
^
+
2
j
^
+
2
k
^
×
3
2
+
6
2
+
2
2
=
3
i
^
+
2
j
^
+
2
k
^
×
49
=
3
7
(
i
^
+
2
j
^
+
2
k
^
)