Let a = i - αj + βk, b = 3i + βj - αk and c = -αi - 2j + k, where α and β are integers. If a . b = -1and b . c = 10, then (a × b) . c is equal to ……… equal to ………
Let a = i - αj + βk, b = 3i + βj - αk and c = -αi - 2j + k, where α and β are integers. If a . b = -1and b . c = 10, then (a × b) . c is equal to ……… equal to ………
Asked by Shiksha User
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1 Answer
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⇒3αβ−2αβ=−1
⇒2αβ=4⇒αβ=2 . (i)
b.c=10
⇒−3α−2β−α=10
⇒4α+2β=−10
⇒2α+β=−5 . (ii)
From (i) and (ii)
α=−1/2, α=−2
β=−4, β=−1
a=i−2j−k
b=3i−2j+2k
c=2i−2j+k
a. (b×c)=9
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