Find the vector, not with determinants, but by using properties of cross products. k times (i – 7j) Find the vector, not with determinants, but by using properties of cross products. (i + j) times (i – j) The figure shows a vector a the xy-plane and a vector b in the direction of k. Their lengths are Find |a times b|. Use the right-hand rule to decide whether the components of a times b are positive, negative x-component y-component z-component If a = (2, -1, 2) and b = (5, 2, 1), find the following. a times b = b times a =

## Answer

**We recall the cross product
property that**

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**Answer: 1. We need to find**

** **

**
**

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**Answer 2. Now we find**

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**Answer 4. Given and**

**Using distributive property
and the properties of cross product**

** **

**Now we find **

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**Note:** The problem #3
was cut-off in the image, so I skipped that.