Determine vector A x C if A = 5i - 4j and B = 5i + 2j
Answer
Vectors
A = 5i - 4j
B = 5i + 2j
Then
A×B=∣ijk5−40520∣A\times B=\begin{vmatrix} i & j & k\\ 5 & -4 & 0\\5 &2&0 \end{vmatrix}A×B=∣∣i55j−42k00∣∣
=i(0)−j(0)+k(10+20)=30ki(0) -j(0) +k(10+20) \\=30ki(0)−j(0)+k(10+20)=30k
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