What is the cross product of $(- 300 i + 200 j - 150 k)$ $(-300i + 200j - 150k)$ and $(i + j - 7 k)$ $(i + j -7k)$ ?

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What is the cross product of $(- 300 i + 200 j - 150 k)$ $(-300i + 200j - 150k)$ and $(i + j - 7 k)$ $(i + j -7k)$ ?

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Answer 1 · 2016-05-05T05:01:32

$= - 1250 ˆ i - 2250 ˆ j - 500 ˆ k$ $=-1250hati-2250hatj-500hatk$

Explanation:

$(- 300 ˆ i + 200 ˆ j - 150 ˆ k) \times (ˆ i + ˆ j - 7 ˆ k)$ $(-300hati+200hatj-150hatk)xx(hati+hatj-7hatk)$
$= (200 \cdot (- 7) - 1 \cdot (- 150)) ˆ i + ((- 150) \cdot 1 - (- 7) \cdot (- 300)) ˆ j + ((- 300 \cdot 1) - (1 \cdot 200)) ˆ k)$ $=(200*(-7)-1*(-150))hati+((-150)*1-(-7)*(-300))hatj+((-300*1)-(1*200))hatk)$
$= - 1250 ˆ i - 2250 ˆ j - 500 ˆ k$ $=-1250hati-2250hatj-500hatk$

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What is the cross product of $(- 300 i + 200 j - 150 k)$ $(-300i + 200j - 150k)$ and $(i + j - 7 k)$ $(i + j -7k)$ ?

1 Answer

Explanation:

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What is the cross product of (−300i+200j−150k)(-300i + 200j - 150k) and (i+j−7k)(i + j -7k)?

1 Answer

Explanation:

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What is the cross product of $(- 300 i + 200 j - 150 k)$ $(-300i + 200j - 150k)$ and $(i + j - 7 k)$ $(i + j -7k)$ ?