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# Vectors: Cross Products and Orthogonality

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1. Find the cross product a X b and verify that it is orthogonal to both a and b.

2. a = < 5,1,4 >, b = <-1,0,2>

3. a = 2i + j - k, b = j + 2k

4. Find |u X v| and determine whether u X v is directed into the page or out of the page. (Please view the attachment to view the diagram pertaining to this question)

https://brainmass.com/physics/right-hand-rule/vectors-cross-products-and-orthogonality-113176

#### Solution Preview

1. Find the cross product a X b and verify that it is orthogonal to both a and b.

2. a = < 5,1,4 >, b = ...

#### Solution Summary

In this solution, cross-products and orthogonality are investigated. The solution is detailed, provides a step by step response and is well presented. The response is enclosed within an attached Word document.

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