Chapter 14: Q. 12 (page 1095)

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

Short Answer

Expert verified

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

Step by step solution

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

Short Answer

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 ofG(x,y,z)=2i−3j+zkandF(x,y,z)=−2i+3j−zk

Short Answer

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Discrete Mathematics

Pure Maths

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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