What is the cross product of $[4, 0, 1]$ $[4, 0, 1]$ and $[- 1, 2, 3]$ $[-1, 2, 3]$ ?

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What is the cross product of $[4, 0, 1]$ $[4, 0, 1]$ and $[- 1, 2, 3]$ $[-1, 2, 3]$ ?

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Answer 1 · 2016-02-04T19:08:28

$A X B = - 2 i - 13 j + 8 k$ $A X B=-2i-13j+8k$

Explanation:

$A = 4 i + 0 j + 1 k$ $A=4i+0j+1k$
$B = - 1 i + 2 j + 3 k$ $B=-1i+2j+3k$
$A X B = i (A_{j} B_{k} - A_{k} B_{j}) - j (A_{i} B_{k} - A_{k} B_{i}) + k (A_{i} B_{j} - A_{J} B_{i})$ $A X B=i(A_j B_k-A_k B_j)-j(A_i B_k-A_k B_i)+k(A_i B_j-A_J B_i)$
$A X B = i (0 \cdot 3 - 1 \cdot 2) - j (4 \cdot 3 + 1 \cdot 1) + k (4 \cdot 2 + 0 \cdot 1)$ $A X B=i(0*3-1*2)-j(4*3+1*1)+k(4*2+0*1)$
$A X B = i (- 2) - j (13) + k (8)$ $A X B=i(-2)-j(13)+k(8)$
$A X B = - 2 i - 13 j + 8 k$ $A X B=-2i-13j+8k$

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What is the cross product of $[4, 0, 1]$ $[4, 0, 1]$ and $[- 1, 2, 3]$ $[-1, 2, 3]$ ?

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What is the cross product of [4,0,1][4, 0, 1] and [−1,2,3][-1, 2, 3] ?

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What is the cross product of $[4, 0, 1]$ $[4, 0, 1]$ and $[- 1, 2, 3]$ $[-1, 2, 3]$ ?