Explanation Given information: e and e ′ are the unit vectors in R 3 Concept used: The cross product of any two orthogonal (or, perpendicular) unit vectors is again a unit vector, which is orthogonal to both of the first two unit vectors. According to the geometric properties of the cross product, The cross product of any two orthogonal (or, perpendicular) unit vectors is again a unit vector, which is orthogonal to both of the first two unit vectors. Let e ″ be the third unit vector, which is perpendicular to both of e and e ′ . it implies that the three unit vectors e ″ , e and e ′ are perpendicular to each other, and the cross product of any two of them is the remaining one

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Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 12.4, Problem 33E

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e×(e′×e) by using geometric properties of cross product

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Chapter 12.4, Problem 32E

Chapter 12.4, Problem 34E

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Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E

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e × ( e ′ × e ) by using geometric properties of cross product

Solution Summary: The author explains that the cross product of any two orthogonal (or, perpendicular) unit vectors is again a unit.

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To find:

e×(e′×e) by using geometric properties of cross product

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Chapter 12 Solutions

e × ( e ′ × e ) by using geometric properties of cross product

Solution Summary: The author explains that the cross product of any two orthogonal (or, perpendicular) unit vectors is again a unit.

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To find: e×(e′×e) by using geometric properties of cross product

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Chapter 12 Solutions

To find:

e×(e′×e) by using geometric properties of cross product