Explanation Given: u = 2 i − 3 j + k, and j + k Formula used: Property: Let u = a 1 i + b 1 j + c 1 k , and v = a 2 i + b 2 j + c 2 k be two vectors in space, u × v is orthogonal to both u and v Calculation: Based on property, such a vector is u × ( j + k ) u × ( j + k ) = | i j k 2 − 3 1 0 1 1 | = ( − 3 − 1 ) i − ( 2 − 0 ) j + ( 2 − 0 ) k = − 4 i − 2 j + 2 k The vector − 4 i − 2 j + 2 k is orthogonal to both u...

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Chapter 9.7, Problem 44AYU

To determine

To find: The vector $u \times (j + k)$ which is orthogonal to both

$u = 2 i - 3 j + k$ , and $j + k$ ,

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Chapter 9.7, Problem 43AYU

Chapter 9.7, Problem 45AYU

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The vector u × ( j + k ) which is orthogonal to both u = 2 i − 3 j + k , and j + k ,

Solution Summary: The author explains that two vectors are orthogonal if theit dot product is zero.

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To find: The vector $u \times (j + k)$ which is orthogonal to both

$u = 2 i - 3 j + k$ , and $j + k$ ,

Want to see the full answer?

Chapter 9 Solutions

Additional Math Textbook Solutions

The vector u × ( j + k ) which is orthogonal to both u = 2 i − 3 j + k , and j + k ,

Solution Summary: The author explains that two vectors are orthogonal if theit dot product is zero.

Concept explainers

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To find: The vector u × (j + k) which is orthogonal to both u = 2i − 3j + k, and j + k,

Want to see the full answer?

Chapter 9 Solutions

Additional Math Textbook Solutions

To find: The vector $u \times (j + k)$ which is orthogonal to both

$u = 2 i - 3 j + k$ , and $j + k$ ,