Let ABCD be a parallelogram. If \overrightarrow{AB}=i^{⋀}+3j^{⋀}+7k^{⋀}, \overrightarrow{AD}=2i^{⋀}+3j^{⋀}-5k^{⋀} and p^{\to} is a unit vector PARALLEL TO \overrightarrow{AC}, then p^{\to} is equal to

Correct Answer is : 17(3⋀i+6⋀j+2⋀k)

1/7(3i^{⋀}+6j^{⋀}+2k^{⋀})

1/7(6i^{⋀}+2j^{⋀}+3k^{⋀})

1/7(6i^{⋀}+2j^{⋀}-3k^{⋀})

KEAM 2015 Math Paper

Question : 91 of 120

Marks: +1, -0

Let ABCD be a parallelogram. If

→

⋀

→

⋀

−5

⋀

and

→

is a unit vector PARALLEL TO

→

, then

→

is equal to

1
3
(2
⋀
i
+
⋀
j
+2
⋀
k
)
1
3
(2
⋀
i
−2
⋀
j
+
⋀
k
)
1
7
(3
⋀
i
+6
⋀
j
+2
⋀
k
)
1
7
(6
⋀
i
+2
⋀
j
+3
⋀
k
)
1
7
(6
⋀
i
+2
⋀
j
−3
⋀
k
)

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