If a * i=4, then ,what is the value of (axj) * (2j-3k) , where a is a vector

Greyson Landry

Greyson Landry

Answered question

2022-07-18

If a.i=4, then ,what is the value of (axj).(2j-3k) , where a is a vector

Answer & Explanation

yatangije62

yatangije62

Beginner2022-07-19Added 16 answers

a i = 4 means that a = 4 i + s j + t k where s and t are real, and so a × j = 4 k t i. Now take the dot product with 2 j 3 k; I think that pesky t will obligingly vanish.
Bernard Boyer

Bernard Boyer

Beginner2022-07-20Added 5 answers

( a × j ) ( 2 j 3 k ) = a ( j × ( 2 j 3 k ) = a ( 3 i ) = ( 4 i ) ( 3 i ) = 12

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