Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$
$u \times v and v \times u$

The value of $u \times v = 1 i + 14 j - 4 k$ and localid="1649397999598" $v \times u = - 1 i - 14 j + 4 k$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$

We have to find the value of $u \times v and v \times u$

Step 2. Firstly finding the value of u×v

The value of vectors $u = (2, 1, - 3), v = (4, 0, 1)$

The cross product of $u \times v$

localid="1649398046712" $u \times v = \det [\begin{matrix} i & j & k \\ 2 & 1 & - 3 \\ 4 & 0 & 1 \end{matrix}]$

Step 3. Now solving the matrix.

$u \times v = \det [\begin{matrix} i & j & k \\ 2 & 1 & - 3 \\ 4 & 0 & 1 \end{matrix}] u \times v = ((1) (1) - (- 3) (0)) i + ((2) (1) - (- 3) (4)) j + ((2) (0) - (1) (4)) k u \times v = (1 + 0) i + (2 + 12) j + (0 - 4) k u \times v = 1 i + 14 j - 4 k$

Step 4. Now finding the value of v×u

The value of vectors $u = (2, 1, - 3), v = (4, 0, 1)$

The cross product of $v \times u = \det [\begin{matrix} i & j & k \\ 4 & 0 & 1 \\ 2 & 1 & - 3 \end{matrix}]$

Step 5. Now solving the matrix.

$v \times u = \det [\begin{matrix} i & j & k \\ 4 & 0 & 1 \\ 2 & 1 & - 3 \end{matrix}] v \times u = ((0) (- 3) - (1) (1)) i + ((4) (- 3) - (1) (2)) j + ((4) (1) - (0) (2)) k v \times u = (0 - 1) i + (- 12 - 2) j + (4 - 0) k v \times u = - 1 i - 14 j + 4 k$

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Calculus

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Short Answer

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$
$u \times v and v \times u$

Step by Step Solution

Step 1. Given Information

Step 2. Firstly finding the value of u×v

Step 3. Now solving the matrix.

Step 4. Now finding the value of v×u

Step 5. Now solving the matrix.

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Calculus

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Short Answer

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3), v=(4,0,1), and w=(−2,6,5)u×v and v×u

Step by Step Solution

Step 1. Given Information

Step 2. Firstly finding the value of u×v

Step 3. Now solving the matrix.

Step 4. Now finding the value of v×u

Step 5. Now solving the matrix.

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In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$
$u \times v and v \times u$