4
ALMultiple Choice

Dot Products of Vectors

Question 4 • TX-Pre-Calculus

Which pair of vectors below, if summed, would create a state of equilibrium (a resultant of 0i + 0j)?

Answer
A
0i + 0j and 2i − 2j
B
2i + 2j and 2i − 2j
C
2i + 2j and -2i − 2j
D
2i + 0j and 0i + 2j

Explanation

For equilibrium, the vectors must add to 0i + 0j, so their i-components and j-components must each cancel. In choice C, (2i + 2j) + (−2i − 2j) = 0i + 0j. The other pairs do not cancel both components.

AI-written and checked against the verified answer.

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