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.