if a bar equal to 3 ICAP + 2 J cap + 2 k cap and b bar equal to two ICAP - 2 J cap + 4 k cap then unit vector perpendicular to the plane containing a bar and Bbar is
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Answer:
(1/√22) (3i - 2j + 3k)
Explanation:
a = 3i + 2j + 2k
b = 2i - 2j + 4k
Perpendicular Vector =
Product of A & B would be perpendicular
i j k
3 2 2
2 -2 4
= i ( 2*4 -(-2)*2) - j (3*4 -2*2) + k (2*4 -(-2)*2)
= 12i - 8j + 12k
Magnitude of vector = √12² + 8² + 12² = √352
Unit Vector = (1/√352) (12i - 8j + 12k)
= (1/4√22)4(3i - 2j + 3k)
= (1/√22) (3i - 2j + 3k)
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