find the scalar and vector product of the vector a=(4j+9j-8k) and b=(3i-2j+7k).
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Explanation:
Scalar product:- a.b
=(4i+9j-8k).(3i-2j+7k)
=12i²-8ij+28ik+27ji-18j²+63jk-24ki+16kj-56k²
=12(1)-18(1)-56(1)=(-62)
vector product:- a×b
=(4i+9j-8k)×(3i-2j+7k)
=12i²-8ij+28ik+27ji-18j²+63jk-24ki+16kj-56k²
= -8(k)+28(-j)+27(-k)+63(i)-24(j)+16(-i)
= -8k-28j-27k+63i-24j-16i
=47i-52j-35k
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