What is the cross product of $[1, 4, - 2]$ $[1, 4, -2]$ and $[3, - 6, 4]$ $[3,-6,4]$ ?

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What is the cross product of $[1, 4, - 2]$ $[1, 4, -2]$ and $[3, - 6, 4]$ $[3,-6,4]$ ?

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Answer 1 · 2016-02-02T22:46:25

$A X B = 4 i - 10 j - 18 k$ $A X B=4i-10j-18k$

Explanation:

$A = i + 4 j - 2 k$ $A=i+4j-2k$
$B = 3 i - 6 j + 4 k$ $B=3i-6j+4k$
$A X B = i ((A j \cdot B k) - (A k \cdot B j)) - j ((A i \cdot B k) - (A k \cdot B i)) + k ((A i \cdot B j) - (A j \cdot B i))$ $A X B=i((A j*B k)-(A k*B j))-j((A i*B k)-(A k*B i))+k((A i*B j)-(A j*B i))$
$A X B = i (4 \cdot 4 - ((- 2) \cdot (- 6))) - j (1 \cdot 4 - (3 \cdot (- 2)) + k (1 \cdot (- 6) - (3 \cdot 4))$ $A X B=i(4*4-((-2)*(-6)))-j(1*4-(3*(-2))+k(1*(-6)-(3*4))$
$A X B = i (16 - 12) - j (4 + 6) + k (- 6 - 12)$ $A X B=i(16-12)-j(4+6)+k(-6-12)$
$A X B = i (4) - j (10) + k (- 18)$ $A X B=i(4)-j(10)+k(-18)$
$A X B = 4 i - 10 j - 18 k$ $A X B=4i-10j-18k$

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What is the cross product of $[1, 4, - 2]$ $[1, 4, -2]$ and $[3, - 6, 4]$ $[3,-6,4]$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

What is the cross product of [1,4,−2][1, 4, -2] and [3,−6,4][3,-6,4] ?

1 Answer

Explanation:

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What is the cross product of $[1, 4, - 2]$ $[1, 4, -2]$ and $[3, - 6, 4]$ $[3,-6,4]$ ?