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Find the vector, not with determinants, but by using properties of cross products. k × (i − 7j)

User Rosio
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Final answer:

To find the vector k × (i − 7j) without using determinants but by using properties of cross products, we can use the fact that the cross product is anticommutative.

Step-by-step explanation:

To find the vector k × (i − 7j) without using determinants but by using properties of cross products, we can use the fact that the cross product is anticommutative. The result of the cross product is a vector that is perpendicular to both vectors being crossed.

  1. First, find the cross product of i × j which is equal to k (positive z-axis).
  2. Then, find the cross product of −7j × k which is equal to 7i (positive x-axis).
  3. Add the two cross products together: 7i + k.

Therefore, the vector k × (i − 7j) is equal to 7i + k.

User Viktor Tabori
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8.2k points
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