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If a=a(1)i+a(2)j+a(3)k, b=b(1)i+b(2)j+b(...

If `a=a_(1)i+a_(2)j+a_(3)k, b=b_(1)i+b_(2)j+b_(3)k, c=c_(1)i+c_(2)j+c_(3)k, d=d_(1)i+d_(2)j+d_(3)k` and
`k(a times b) times (c times d)=|{:(-a, -b, c, d), (a_(1), b_(1), c_(1), d_(1)), (a_(2), b_(2), c_(2), d_(2)), (a_(3), b_(3), c_(3), d_(3)):}|`
(formal expression) then

A

k = 16

B

k = 2

C

k = 4

D

none of these

Text Solution

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The correct Answer is:
B
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