The sum of vector E and vector C in the drawing is equal to

Question

BlackTom AI · Accepted Answer

To solve the problem, we need to consider the vector directions and how they combine using vector addition (tip-to-tail).

Option A: A is a horizontal vector pointing to the right. Since vector E points to the left and vector C points in a direction that includes a rightward component, their sum would not produce a purely rightward result; it would likely be a combination that still has a leftward component or a downward component, so A is unlikely.

Option D: D points up and to the right. The sum of E (which points left) with C (which points right and probably downward) would not align to a simple up-right direction; the leftward component from E tends to cancel or reduce the rightward component from C, and the vertical components may not align to produce a pure up-right result. Therefore D is unlikely.

Option F: F is a vector pointing toward the bottom-left. If E is purely leftward and C has a rightward component with a downward/diagonal direction, their combination can yield a resultant with a strong leftward and downward component, i.e., toward the bottom-left region. This makes F a plausible sum.

Option B: B points straight up. For the sum to be strictly vertical upward, the horizontal components of E and C would need to cancel exactly. Given E is leftward and C has a rightward component, it's unlikely their horizontal components cancel while producing a pure upward direction. Thus B is unlikely.

In summary, considering the directions and how the components add, the sum E + C most naturally points toward the bottom-left, which corresponds to vector F. The other options do not align with the combined horizontal and vertical components produced by adding E and C.

SPHY001 Practice Quiz - Unit 03 | LA043

The sum of vector E and vector C in the drawing is equal to

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