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 $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$
$u \times w and w \times u$

The value of $u \times w = 23 i + 4 j + 14 k$ and $w \times u = - 23 i - 4 j - 14 k$ .

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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 $u \times w and w \times u$

Step 2. Firstly finding the value of u×w

The value of vectors $u = (2, 1, - 3), w = (- 2, 6, 5)$

The cross product of $u \times w = \det [\begin{matrix} i & j & k \\ 2 & 1 & - 3 \\ - 2 & 6 & 5 \end{matrix}]$

Step 3. Now solving the matrix.

$u \times w = \det [\begin{matrix} i & j & k \\ 2 & 1 & - 3 \\ - 2 & 6 & 5 \end{matrix}] u \times w = ((1) (5) - (- 3) (6)) i + ((2) (5) - (- 2) (- 3)) j + ((2) (6) - (1) (- 2)) k u \times w = (5 + 18) i + (10 - 6) j + (12 + 2) k u \times w = 23 i + 4 j + 14 k$

Step 4. Firstly finding the value of w×u

The value of vectors $w = (- 2, 6, 5) and u = (2, 1, - 3)$

The cross product of $w \times u = \det [\begin{matrix} i & j & k \\ - 2 & 6 & 5 \\ 2 & 1 & - 3 \end{matrix}]$

Step 5. Now solving the matrix.

$w \times u = \det [\begin{matrix} i & j & k \\ - 2 & 6 & 5 \\ 2 & 1 & - 3 \end{matrix}] w \times u = ((6) (- 3) - (5) (1)) i + ((- 2) (- 3) - (5) (2)) j + ((- 2) (1) - (6) (2)) k w \times u = (- 18 - 5) i + (6 - 10) j + (- 2 - 12) k w \times u = - 23 i - 4 j - 14 k$

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Calculus

Answers without the blur.

Short Answer

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

Step by Step Solution

Step 1. Given Information

Step 2. Firstly finding the value of u×w

Step 3. Now solving the matrix.

Step 4. Firstly finding the value of w×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×w and w×u

Step by Step Solution

Step 1. Given Information

Step 2. Firstly finding the value of u×w

Step 3. Now solving the matrix.

Step 4. Firstly finding the value of w×u

Step 5. Now solving the matrix.

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