Explanation Given: u = 2 i − 3 j + k , v = − 3 i + 3 j + 2 k , w = i + j + 3 k Formula used: If v = a 1 i + b 1 j + c 1 k , and w = a 2 i + b 2 j + c 2 k are two vectors in space, the cross product v × w is v × w = ( b 1 c 2 − b 2 c 1 ) i − ( a 1 c 2 − a 2 c 1 ) j − ( a 1 b 2 − a 2 b 1 ) k Calculation: v × w

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Chapter 9.7, Problem 34AYU

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To find: The value of $v \cdot (v \times w)$

for, $u = 2 i - 3 j + k, v = - 3 i + 3 j + 2 k, w = i + j + 3 k$

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Chapter 9.7, Problem 33AYU

Chapter 9.7, Problem 35AYU

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The value of v ⋅ ( v × w ) for, u = 2 i − 3 j + k , v = − 3 i + 3 j + 2 k , w = i + j + 3 k

Solution Summary: The author explains how the cross product v w is based on two vectors in space.

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To find: The value of $v \cdot (v \times w)$

for, $u = 2 i - 3 j + k, v = - 3 i + 3 j + 2 k, w = i + j + 3 k$

Want to see the full answer?

Chapter 9 Solutions

Additional Math Textbook Solutions

The value of v ⋅ ( v × w ) for, u = 2 i − 3 j + k , v = − 3 i + 3 j + 2 k , w = i + j + 3 k

Solution Summary: The author explains how the cross product v w is based on two vectors in space.

Concept explainers

Videos

To find: The value of v ⋅ (v × w) for, u = 2i − 3j + k, v = − 3i + 3j + 2k, w = i + j + 3k

Want to see the full answer?

Chapter 9 Solutions

Additional Math Textbook Solutions

To find: The value of $v \cdot (v \times w)$

for, $u = 2 i - 3 j + k, v = - 3 i + 3 j + 2 k, w = i + j + 3 k$