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
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.
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