Does the Cross Product of -k and -i Result in +j?

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SUMMARY

The cross product of the vectors -k and -i results in the vector +j. This conclusion is based on the property that the cross product of two negative vectors yields a positive vector, as demonstrated in the discussion. Specifically, the operation (-k) x (-i) is equivalent to (k) x (i), confirming that the result is indeed +j. This understanding is crucial for solving vector-related problems in physics and mathematics.

PREREQUISITES
  • Understanding of vector notation and operations
  • Familiarity with the right-hand rule for cross products
  • Basic knowledge of Cartesian coordinate system (i, j, k)
  • Concept of vector direction and sign conventions
NEXT STEPS
  • Study the properties of vector cross products in three-dimensional space
  • Learn about the right-hand rule and its applications in physics
  • Explore vector calculus and its relevance in physics problems
  • Practice solving vector problems involving cross products and dot products
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Students preparing for physics exams, particularly those focusing on vector mathematics and cross product operations.

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simple cross product question. Please help!

Homework Statement



Hey guys, I know how cross product works,

i-->j-->k : positive numbers
i<--j<--k : negative number

Homework Equations



The question that I have is, say I have -k x -i, I am supposed to get a positive j since the two negatives cancel out, is that correct? I would really appreciate any help, I have a final in less than 10 hours and would love a quick response! :)
 
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(-k)x(-i) is +j. Yes, it's the same as (k)x(i).
 


Dick said:
(-k)x(-i) is +j. Yes, it's the same as (k)x(i).


excellent! thanks for your quick response. Now, to continue studying for this nasty final! :)
 

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