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Given the vectors M = 5i - 3j and  N  = -3i + 2k, what is the resultant?Group of answer choices-i – j2i - 3j + 2k-i – ki + 3j - 2k

Question

Given the vectors

M = 5i - 3j and N = -3i + 2k, what is the resultant?

Group of answer choices

  • -i
  • 2i - 3j + 2k
  • -i - k
  • i + 3j - 2k
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Solution

The resultant of two vectors M and N is found by adding the corresponding components of the two vectors.

For vector M = 5i - 3j, the i-component is 5 and the j-component is -3. There is no k-component, so we can consider it as 0.

For vector N = -3i + 2k, the i-component is -3, there is no j-component (so we can consider it as 0), and the k-component is 2.

Adding the i-components together: 5 + (-3) = 2i Adding the j-components together: -3 + 0 = -3j Adding the k-components together: 0 + 2 = 2k

So, the resultant of vectors M and N is 2i - 3j + 2k.

This problem has been solved

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