Short Answer

What is the difference between the graphs of
$G (x, y, z) = 2 i - 3 j + z k a n d F (x, y, z) = - 2 i + 3 j - z k$

The difference between the graphs are $F (x, y, z) = - G (x, y, z); at (0, 0)$ .

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Step 1.Given Information

What is the difference between the graphs of

$G (x, y, z) = 2 i - 3 j + z k a n d F (x, y, z) = - 2 i + 3 j - z k$

Step 2. The given vector is G(x,y,z)=2i−3j+zk and F(x,y,z)=−2i+3j−zk.

$For every point (x, y, z) \in ℝ^{3} We can write F (x, y) as F (x, y, z) = - 2 i + 3 j - z k F (x, y, z) = - (2 i - 3 j + z k) As we know G (x, y, z) = 2 i - 3 j + z k So we can write F (x, y, z) = - G (x, y, z) Hence F (x, y, z) = - G (x, y, z); at (0, 0)$

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Short Answer

What is the difference between the graphs of
$G (x, y, z) = 2 i - 3 j + z k a n d F (x, y, z) = - 2 i + 3 j - z k$

Step by Step Solution

Step 1.Given Information

Step 2. The given vector is G(x,y,z)=2i−3j+zk and F(x,y,z)=−2i+3j−zk.

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Calculus

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Short Answer

What is the difference between the graphs ofG(x,y,z)=2i−3j+zk and F(x,y,z)=−2i+3j−zk

Step by Step Solution

Step 1.Given Information

Step 2. The given vector is G(x,y,z)=2i−3j+zk and F(x,y,z)=−2i+3j−zk.

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What is the difference between the graphs of
$G (x, y, z) = 2 i - 3 j + z k a n d F (x, y, z) = - 2 i + 3 j - z k$