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Question

OA=3i+4j+12k,OB=12i+3j+4k, OC=4i+12j+3k.
Find the unit vector perpendicular to OA and OB

A
20i132j+39k(19345)
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B
20i+132j39k(19345)
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C
50156j+57k(30085)
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D
50i+156j57k(30085)
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Solution

The correct option is B 20i+132j39k(19345)
OA×OB=∣ ∣ijk34121234∣ ∣=20i+132j39k
Unit vector to both OA and OB=20i+132j39k[(20)2+(132)2+(39)2]=20i+132j39k(19345)

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